PUBLICATIONS
Books:
B01. Differential Equations,
Chaos and Variational Problems (V. Staicu, Ed.), Birkhauser, Bassel, 2007, 435 p.,
Hardcover, ISBN: 978-3-7643-8481-4.
B2.
Degree theory for operators of monotone type and nonlinear
elliptic equations with inequality constraints, (with S. Aizicovici and
N. S. Papageorgiou, Memoirs of the American Mathematical Society, 2008; 70 pp; softcover,
Volume: 196, ISBN-10: 0-8218-4192-0, ISBN-13: 978-0-8218-4192-1
B3.
Proceedings of the 38th Annual Congress of the American
Romanian Academy of Arts and Sciences, July 23-27, 2014, Caltech, Passadena,
California, USA, (V.
Staicu, Ed.), ARA Publishing, USA, 2014.
Chapters of books:
C1. Qualitative
properties of solution sets to Lipschitzian
differential inclusions, Proceedings of the International
Conference on Differential Equations, EQUADIFF´91, Barcelona, Spain, (C.
Perello, C. Simo, J. Sola-Morales, Editors), vol.2, 910-914, World Sci. Publ.,
1993.
C2. On the solution sets to nonconvex differential inclusions of evolution
type, Proceedings of the International
Conference on Dynamical Systems & Differential Equations, May 29-June 1,
1996, Springfield, Missouri, U.S.A. (W. Chen and S. Hu, Editors), vol. 2,
244-252, Southwest Missouri State University, 1998.
C3. Nonconvex
perturbations of maximal monotone differential inclusions, Proceedings of the RIMS Symposium on nonlinear evolution equations,
Kyoto, Japan, October 20-23, 1997, (M. Otani Editor), RIMS Kokyroku 1061
(1998), 95-107.
C4. New
results concerning evolution inclusions in Banach spaces, in Proceedings of the Conference on Differential & Difference
Equations and Applications, (Ravi P. Agarwal, and Kanishka Perera, Editors),
1019-1027, Hindawi Publishing Corporation, 2006.
C5. Three
nontrivial solutions for the p-Laplacian Neumann problems with a concave
nonlinearity near the origin (with S. Aizicovici and N. S.
Papageorgiou), Proceedings of the Conference on
Nonlinear Analysis and Optimization in celebration of Alex Ioffe’s 70th
and Simeon Reich’s 60th birthdays, June 18-24, 2008,
Technion, Haifa, Israel, Israel Math. Conference
Proceedings subseries of the Contemporary Mathematics series of the Amer.
Math. Soc. (Editors: Arie Leizarowitz, Boris Mordukhovich, Itai Shafrir,
Alexander Zaslavski).
C6. On some quasilinear parabolic equations
with non-monotone multivalued terms, Proceedings of the RIMS workshop “Innovation of the theory for evolution
equations: developments via cross-disciplinary studies", October 17 – 19,
2022, G. Akagi, Editor), RIMS Kokyroku, N. 2277. (2024). (https://drive.google.com/file/d/1DWm
N0fco_WqLdSvIxS8owuFwMfzgaUcx/view?usp=sharing).
Papers in refereed journals:
P1. Multifunctions in parametric
linear programming, (in romanian),
Stud. Cerc. Mat., 37 (1985), 572-578.
P2. On the reachable sets of a linear control system, (with A. Andreini), Boll. Un. Mat. Ital., 2A (1988), 353-357.
P3. On the return sets of a linear control system, (with A: Margheri), Boll. Un. Mat. Ital., 2A
(1988), 359-364.
P4. Generalized derivatives for C¹-parametrized multifunctions, Boll. Un. Mat. Ital., 3B (1989), 523-532.
P5. Minimal
time function and viscosity solutions, J. Optim. Theory Appl., 60 (1989, 81-91.
P6. On the existence of solutions to a class of differential inclusions, Rend. Sem. Mat. Univ. Polit. Torino, 48 (1990), 137-142.
P7. Continuous
selections of solution sets to Lipschitzian
differential inclusions, (with R. Colombo, A. Fryszkowski and T. Rzezuchowski), Funkcial. Ekvac., 34 (1991), 321-330.
P8. On evolution equations having monotonicities
of opposite sign, (with A. Cellina), J. Differential
Equations, 90 (1991), 71-80.
P9. Continuous selections of solution sets to evolution equations, Proc. Amer. Math. Soc., 113 (1991), 403-413.
P10. Arcwise connectedness of solutions sets to Lipschitzean differential inclusions, (with H. Wu), Boll. Un. Mat. Ital, 5-A (1991), 253-256.
P11. Well posedness for differential inclusions on
closed sets, (with A. Cellina), J. Differential
Equations, 92 (1991), 2-13.
P12. On a non-convex
hyperbolic differential inclusion, Proc. Edinburgh Math. Soc., 35 (1992), 375-382.
P13. The
Bellman equation for time-optimal control of non-controllable nonlinear systems, (with M. Bardi), Acta Appl. Math., 31 (1993), 201-223.
P14. Asymptotic
behavior of minima to a class of optimization problems for differential
inclusions, (with Z. Denkowski),
J. Optim. Theory Appl., 81 (1994), 21-34.
P15. On
non-convex perturbations of maximal monotone differential inclusions (with A. Bressan), Set-valued Analysis, 2
(1994), 415-430.
P16. Topological
properties of non-convex differential inclusions of evolution type, (with F. S. De Blasi and G. Pianigiani), Nonlinear Anal., Th. Meth.
Appl., 24 (1995), 711-720.
P17. On
the solution sets to some non-convex hyperbolic differential inclusions, (with F. S. De Blasi and G. Pianigiani), Czechoslovak Math. J., 45
(1995), 107-116.
P18. On
the set of solutions to a class of nonconvex nonclosed
differential inclusions, (with S. A.
Marano), Acta Mathematica Hungarica, 76 (1997),
263-277.
P19. Correction
of the paper
“On the set of solutions to a class of nonconvex nonclosed
differential inclusions" (with S. A. Marano), Acta Mathematica Hungarica,
78 (1998), 267-268.
P20. On the solution sets to differential inclusions on an unbounded interval, Proc. Edinburgh Math. Soc., 43 (2000), 475-484.
P21. Existence
of solutions to a class of evolution inclusions, (with A. Cernea), Nonlinear Anal., 50 (2002), no. 7, Ser. A: Theory
Methods, 1025--1034.
P22. Comparison
of minimizers to a class of integral functionals of the gradient, Annals of the University of Craiova - Mathematics and Computer Science
series, XXIX (2002), 10-18.
P23. Directionally
continuous selections and nonconvex evolution inclusions, (with A. Cernea), Set-Valued Anal., 11 (2003): 9-20.
P24. Arcwise
connectedness of sets of solutions to differential inclusions, J. Mathematical Sciences, 120 (2004), 1006-1015.
P25. Continuous selections
of solution sets to Volterra integral inclusions in Banach spaces, (with
P26. Periodic
solutions for second order differential inclusions with scalar p-Laplacian, (with
P27. Resonant
nonlinear periodic problems with the scalar p-Laplacian and nonsmooth
potential, (with S. Aizicovici and N. S.
Papageorgiou), Topological Methods in Nonlinear Analysis, 27(2006), 269-288.
P28. Periodic
solutions of nonlinear evolution inclusions in Banach spaces, (with S. Aizicovici and N. S. Papageorgiou), J. Nonlinear Convex
Analysis, 7(2006), 163-177. Erratum
P29.
The method of upper-lower solutions to nonlinear second order differential
inclusions, (with N. S. Papageorgiou), Nonlinear
Anal. 67(2007), 708-726.
P30. Multiple
solutions for strongly resonant periodic systems, (with N. S. Papageorgiou), Nonlinear Analysis, 67(2007), 1895-1907.
P31. Multiple
nontrivial solutions for nonlinear periodic problems with the p-Laplacian, (with
P32. Multivalued
evolution equations with nonlocal initial conditions in Banach spaces, (with S. Aizicovici) Nonlinear Differential Equations and Applications,
14(2007), 361-376.
P33. A
multiplicity theorem for hemivariational inequalities with p-Laplacian like
differential operator (with N. S.
Papageorgiou and
P34. Three
nontrivial solutions for the p-Laplacian with a nonsmooth
potential, (with N. S. Papageorgiou and S. R.
Andrade Santos), Nonlinear Anal. 68(2008), 3812-3827.
P35. Eigenvalue
problems for nonlinear elliptic equations with unilateral constraints, (with M. E. Filippakis and N. S.
Papageorgiou), Nonlinear Anal., 69(2008), 85-109.
P36. Multiple nontrivial solutions for doubly resonant periodic
problems (with N. S. Papageorgiou), Canadian Math.
Bulletin. 53(2010), 347-359.
P37. The
spectrum and an index formula for the Neumann p-Laplacian and multiple
solutions for problems with crossing nonlinearity, (with
P38. Multiplicity
theorems for superlinear elliptic problems (with N. S. Papageorgiou and
P39. On
the existence of three nontrivial smooth solutions for nonlinear elliptic
equations (with N. S. Papageorgiou and
P40. Nontrivial solutions for nonvariational quasilinear Neumann
problems, (with N. S. Papageorgiou and S. R.
Andrade Santos), Topological Meth. Nonlinear Anal., 36(2010), 39-60.
P41. On
the existence of nontrivial solutions for resonant Neumann problems, (with N. S. Papageorgiou and S. R. Andrade Santos), Journal of
Nonlinear and Convex Analysis, 9(2008), 351-360.
P42. Existence
of multiple solutions with precise sign information for superlinear
Neumann problems, (with S. Aizicovici and N. S. Papageorgiou), Ann. Mat. Pura Appl.,
188(2009), 679-715.
P43. Multiple
positive solutions for a p-Laplacian Dirichlet problem with superdiffusive
reaction, (with
P44. Positive
Solutions for Nonlinear Periodic Problems (with M. E. Filippakis and N. S.
Papageorgiou), Positivity, 12 (2008), 733–750.
P45. Eigenvalue
problems for hemivariational inequalities (with N. S. Papageorgiou and S. R. Andrade Santos), Set-Valued
Analysis, 16(2008), 1061-1087.
P46. On
a p-superlinear Neumann p-Laplacian equation
(with S. Aizicovici and N. S. Papageorgiou), Topological Meth. Nonlinear Anal.
, 34(2009), 111-130.
P47. Multiple
solutions for superlinear p-Laplacian Neumann
problems, (with S. Aizicovici and N. S.
Papageorgiou), Osaka J. Math., 49(2012), 699-740.
P48. Existence
and multiplicity of solutions for resonant nonlinear Neumann
problems, (with S. Aizicovici and N. S.
Papageorgiou), Topological Meth. Nonlinear Anal. n 35(2010), 235-252.
P49. On resonant Neumann problems: multiplicity of solutions (with N. S. Papageorgiou and A. I. Santos Coelho Rodrigues),
Nonlinear Analysis, 74(2011) 6487-6498.
P50. Nonlinear
resonant periodic problems with concave terms (with
P51. Positive
solutions for nonlinear periodic problems with concave terms (with
P52. Positive
solutions for nonlinear nonhomogeneous periodic eigenvalue problems, (with S. Aizicovici and N. S.
Papageorgiou), Annals of the University of Bucharest (mathematical series, 3
(LXI)(2012), 129-144.
P53 p-Laplace equations with singular terms and p-superlinear
perturbations [VS1] (with S. Aizicovici and N. S.
Papageorgiou), Lib. Math. (N.S.), 32(2012), No. 1, 77-95.
P54. On
p-superlinear equations with a nonhomogeneous
differential operator (with S. Aizicovici and N. S. Papageorgiou), NoDEA
– Nonlinear Differ. Equ. Appl. 20 (2013), 151–175.
P55. Nodal
and multiple solutions for nonlinear periodic problems with competing
nonlinearities (with S. Aizicovici and N. S. Papageorgiou), Comm. Contemp. Math.,
15(2013), 1350001-1350030.
P56.
Nonlinear
periodic problems superlinear at +¥ and sublinear at -¥), Lib. Math. (N.S.), 33(2013), No. 1, 27-56.
P57.
Sublinear
and superlinear Ambrosetti-Prodi problems for the
Dirichlet p-Laplacian (with
S. Aizicovici and N. S. Papageorgiou), Nonlinear Analysis., 95(2014), 263–280.
P58.
Multiplicity
of solutions for a class of nonlinear nonhomo-geneous
elliptic equations (with S. Aizicovici and N. S.
Papageorgiou), J. Nonlinear Convex Anal., 15(2014), 7-34.
P59.
Nodal
solutions for nonlinear nonhomogeneous Neumann equations (with S. Aizicovici
and N. S. Papageorgiou), Topol. Methods Nonlinear Anal., 43(2014),
421-438.
P60.
Existence
Results for Quasilinear Elliptic Equations with Multivalued Nonlinear Terms (with M. Otani), Set-Valued Var. Anal., 22(2014),
859-877.
P61.
Constant
sign and nodal solutions for a class of nonlinear Dirichlet problems (with N. S.
Papageorgiou and S. R. Andrade Santos), J. Math. Anal. Appl., 422(2015), 646-666.
P62.
Positive solutions for parametric nonlinear periodic problems with
competing nonlinearities (with S. Aizicovici
and N. S. Papageorgiou), http://hdl.handle.net/10773/14983, Electronic
J. Differential Equations, 2015, 2015, 1-18
P63.
Nodal
solutions to (p,2)-equations (with S. Aizicovici and N. S.
Papageorgiou), http://hdl.handle.net/10773/14984), Trans.
Amer. Math. Soc., 367, 2015, 7343-7372.
P64. Dirichlet
problems with singular and superlinear terms (with S. Aizicovici and N.
S. Papageorgiou), Comm. Contemp. Math, 17, 1550056 (2015) [31
pages] DOI: http://dx.doi.org/10.1142/S021919971550056X
P65.
Constant
sign and nodal solutions for nonlinear elliptic equations with combined
nonlinearities (with S. Aizicovici and N. S. Papageorgiou) (http://hdl.handle.net/10773/14988), Methods Appl. Anal.,
22(2015), 221-248.
P66.
Positive
solutions for parametric Dirichlet problems with indefinite potential and
superdiffusive reaction (with S. Aizicovici and N. S.
Papageorgiou), (http://hdl.handle.net/10773/15711), Topological Methods Nonlinear
Analysis, 47, No. 2, 2016, 423-438.
P67.
On (p,q)−equations
with concave terms (with N. S. Papageorgiou and S. R. Andrade Santos) (http://ria.ua.pt/handle/10773/16196), Advances in
Mathematical Sciences and Applications, 25, 2016, 1-32.
P68.
Semilinear
Neumann equations with indefinite and unbounded potential (with S. Aizicovici and
N. S. Papageorgiou)http://hdl.handle.net/10773/15436), Houston J.
Math., 42, 2016, 307-340
P69.
Periodic
problems with a reaction of arbitrary growth (with S. Aizicovici and
N. S. Papageorgiou), Journal of Nonlinear and Convex Analysis, 16(2015),
985-1011.
P70.
Nonlinear
nonhomogeneous parametric Neumann problems (with S. Aizicovici and
N. S. Papageorgiou) (http://hdl.handle.net/10773/16195), Topol. Methods
Nonlinear Anal., 48 (2016), 45-69.
P71.
Nonlinear periodic problems with
a jumping reaction (with
S. Aizicovici and N. S. Papageorgiou) (http://ria.ua.pt/handle/10773/16197), Libertas
Math. (n.s.), 35(2015), 57-83.
P72.
Positive solutions for parametric Dirichlet
problems with indefinite potential and superdifusive
rection (with S. Aizicovici and
N. S. Papageorgiou) (http://hdl.handle.net/10773/15711), Topological Methods Nonlinear
Analysis, 47, No. 2, 2016, 423-438.
P73.
Semilinear Neumann equations with indefinite and unbounded potential (with S. Aizicovici and N. S.
Papageorgiou), (http://hdl.handle.net/10773/15436) Houston J. Math., 42,
2016, 307-340.
P74.
Nonlinear nonhomogeneous parametric Neumann
problems (with S. Aizicovici and
N. S. Papageorgiou), (http://hdl.handle.net/10773/16195), Topol. Methods Nonlinear Anal.,
48, 2016, 45-69.
P75.
Nonlinear Dirichlet problems with
double resonance (with S. Aizicovici and
N. S. Papageorgiou), (http://hdl.handle.net/10773/17236),
Communications on Pure and Applied Analysis, 16, 2017, 1147-1168.
P76. Random Extremal
Solutions of Differential Inclusions (with Alberto Bressan), (http://hdl.handle.net/10773/15530), Nonlinear
Differential Equations and Applications NoDEA, 23(3),
2016, 1-16.
P77.
The existence of solutions to
variational problems of slow growth (with Arrigo Cellina) (http://hdl.handle.net/10773/15347), J.
Differential Equations, 260, 2016, 5834-5846.
P78.
Quasilinear elliptic systems with measure data (with Francesco Leonetti and Eugenio
Rocha (http://hdl.handle.net/10773/15597), Nonlinear Analysis, 154,
2017, 210-224.
P79.
Nonlinear nonconvex second order multivalued
systems with maximal monotone terms (with S. Aizicovici and N. S. Papageorgiou),
(http://hdl.handle.net/10773/18703), Pure and Applied Functional
Analysis. Special Issue on Operator Theory., 2, 2017, 553-574.
P80.
Sensitivity analysis of parametric elliptic
optimal control problems (with S. Aizicovici and
N. S. Papageorgiou), (http://hdl.handle.net/10773/25837) Pure and Applied Functional
Analysis, 3, 2018, 27-42.
P81.
Strongly nonlinear second order multivalued
Dirichlet systems (with S. Aizicovici and
N. S. Papageorgiou), (http://hdl.handle.net/10773/21972),
J. Nonlinear Variational Analysis, 2, 2018, 3-23.
P82.
On the higher differentiability of solutions to
variational problems of fast growth (with Arrigo Cellina) (http://hdl.handle.net/10773/22744),
Calc. Var. (2018) 57:66.
P83.
Positive Solutions for Parametric nonlinear
nonhomogeneous Robin problems (with S. Aizicovici and N. S. Papageorgiou), (http://hdl.handle.net/10773/24489), Funkcial. Ekvac., 61(2018),
285-313.
P84.
Smallness and cancellation in some elliptic
systems with measure data (with Francesco Leonetti and
Eugenio Rocha, (http://hdl.handle.net/10773/23634)J. Math. Anal. Appl., 465,
2018, 885-902.
P85.
To Academician Constantin Corduneanu on the
occasion of his 90th birthday. Lib. Math. (N.S.), 38 (2018), no. 2, i–iv.
P86.
Multiplicity of positive solutions for
nonlinear singular Neumann problems (with S. Aizicovici and N. S.
Papageorgiou),( http://hdl.handle.net/10773/25855) Libertas Math. (n. s.), 38(2018), No. 2, 15-40
P87.
Maximum principles for some quasilinear
elliptic systems
(with S. Leonardi, F. Leonetti, C. Pignotti, E. Rocha),(https://ria.ua.pt/handle/10773/25838) Nonlinear Anal., 194(2020),
111377.
P88. Multiple solutions with sign information for (p,2)-equations with
asymmetric resonant reaction (with S. Aizicovici and N. S. Papageorgiou), Pure and Applied Functional
Analysis. 5(2020), 817-850.
P89.
Nonlinear
periodic systems with unilateral constraints (with S. Aizicovici and N. S.
Papageorgiou), (http://hdl.handle.net/10773/28040),Topol. Methods Nonlinear Anal., 54(2019), 871-885.
P90. On the Competitive Harvesting of Marine Resources (with Alberto Bressan), (https://ria.ua.pt/handle/10773/27176,
SIAM Journal on Control and Optimization , 57(2019), 3961–3984.
P91. A
multiplicity theorem for noncoercive (p,2)-equations (with S. Aizicovici and
N. S. Papageorgiou), Pure
and Applied Functional Analysis. Special issue dedicated to F. Browder
(accepted).
P92. Three
nontrivial solutions for nonlocal anisotropic inclusions under nonresonance, (with S. Frassu and E. M. Rocha) (http://hdl.handle.net/10773/26163) Electronic J. Differential
Equations, 2019
(2019), No. 75, 1–16.
P93. On some
nonlinear parabolic equations with nonmonotone multivalued terms (with M. Otani), J. Convex
Analysis, 28(2021), in print.
P94. On time-periodic solutions of some
nonlinear parabolic equations with nonmonotone multivalued terms (with M. Otani), (http://hdl.handle.net/10773/28039),
Topol. Methods Nonlinear Anal., 54(2019),
1075-1092.
P95. Existence and
multiplicity results for partial differential inclusions via nonsmooth local linking (with A. Iannizzotto), J. Nonlinear and Convex
Analysis, 21(2020), 1255-1273.
P96. The obstacle problem at zero for the
fractional p-Laplacian (with S. Frassu and E. M Rocha), Set-Valued Var. Anal., 30 (2022),
207-231.
P97. Infinitely many nodal solutions for
anisotropic (p,q)-equations (with S. Aizicovici and
N. S. Papageorgiou), Pure
and Applied Functional Analysis. 7 (2022), 473-486.
P98. Local boundedness for weak solutions to
some quasilinear systems (with S. Leonardi, F. Leonetti, C. Pignotti, E.
Rocha), Minimax Theory and its Applications, 06 (2021), 365-378.
P99. A tribute
to the late Professor Constantin Corduneanu, Libertas Math. (n. s.), 39(2019), No. 2, 113-116 (http://hdl.handle.net/10773/29132).
P100. Nonlinear Robin problems with locally
defined reaction (with
S. Aizicovici and N. S. Papageorgiou), Pure and Applied Functional Analysis. 8 (2023), 27-47.
P101. Butterfly support for off diagonal
coefficients and boundedness of solutions to quasilinear elliptic systems (with S.
Leonardi, F. Leonetti, E. Rocha), Adv. Nonlinear
Anal., 11 (2022), 672-683.
P102. On some quasilinear parabolic equations
with non-monotone multivalued terms (with M. Otani), Comm. Pure Applied Analysis, 22 (2023), 1831-1865.
P103. Nonlinear nonhomogeneous logistic
equations of superdifusive type (with S. Aizicovici and
N. S. Papageorgiou), Appl.
Set-Valued Anal. Optim. 4 (2022), 277-292.
P104. Anisotropic (p,q)-equations
with a locally defined reaction (with S. Aizicovici and
N. S. Papageorgiou), Appl. Set-Valued Anal. Optim. 6 (2024), 65-80.
P105. Multiple solutions for superlinear fractional p-Laplacian equation (with A. Iannizzotto and V. Vespri), Minimax Theory and its Applications (accepted). https://arxiv.org/abs/2411.10119
P106. Parametric nonlinear nonhomogeneous
singular problems with an indefinite perturbation (with S. Aizicovici and N. S.
Papageorgiou), Libertas Math. (n. s.), 45(2025), No. 1, 1-22
P107. Existence and boundedness of weak
solutions to some vectorial Dirichlet problems (with G. R. Cirmi, S. D’Asero, S.
Leonardi, F. Leonetti, E. Rocha), Nonlinear Anal. Theory, Meth. Appl., 254
(2025), 1-20. https://doi.org/10.1016/j.na.2025.113751
P108. Optimally Controlled Moving Sets in the Presence of Geographical
Constraints (with
Alberto Bressan and Elsa Marchini), submitted to Milan Journal of Mathematics,
on February 3, 2025, (67pages). https://arxiv.org/submit/6190176/view
T1. Multifunctions in parametric
linear programming, (Degree of licentiate thesis,
University of Bucharest, Romania, 1984)
T2. The set of solutions to Lipschitzian
differential inclusions (M. Ph. Thesis, International School for
Advanced Studies in Trieste, Italy, 1989)
T3. Well posedness for differential inclusions (D. Ph. Thesis, International School for Advanced Studies in Trieste,
Italy, 1990)
T4. Existence of solutions to differential inclusions (Synthesis lecture presented for the Habilitation (Agregacao)
degree, University of Aveiro, 2001)
T5. Differential equations (Report
presented for the Habilitation (Agregaçao) degree,
University of Aveiro, 2001)
Unpublished professional reports:
U1. Equivalent
Definitions and Basic Properties of Frechet semidifferentials, (with S. Mirica and
U2. Continuous flows of Lipschitzian differential inclusions, Preprint SISSA, 184/1990 / M.
Abstracts available at ZENTRALBLATT FÜR MATHEMATIK and MATHEMATICAL REVIEW
©
1997 Vasile Staicu. All rights reserved. See Disclaimer.