Multiple Solutions for Gradient Elliptic Systems with Nonsmooth Boundary Conditions

被引：0

作者：

Hannelore Lisei

Csaba Varga

机构：

[1] Babeş-Bolyai University,Faculty of Mathematics and Computer Science

来源：

Mediterranean Journal of Mathematics | 2011年 / 8卷

关键词：

34A60; 47J20; 49J52; Nonhomogeneous Neumann boundary condition; gradient elliptic system; differential inclusions; critical points;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we prove the existence of at least three solutions of gradient elliptic systems with nonhomogeneous and nonsmooth Neumann boundary conditions. Our investigations complete the results of J. Fernandez Bonder, S. Martinez, J.D. Rossi (NoDEA Nonlinear Differential Equations Appl. 2007). We use a recent generalization of a three critical points theorem of B. Ricceri (Nonlinear Anal. 2008) for locally Lipschitz functionals given by A. Kristály, W. Marzantowicz, Cs. Varga (J. Global Optim. 2010).

引用

页码：69 / 79

页数：10

共 50 条

[41] BOUNDEDNESS, A PRIORI ESTIMATES AND EXISTENCE OF SOLUTIONS OF ELLIPTIC SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS
Kosirova, I.
Quittner, P.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2011, 16 (7-8) : 601 - 622
[42] Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions
Saldana, Alberto
Tavares, Hugo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (12) : 6127 - 6165
[43] Existence of Solutions and of Multiple Solutions for Nonlinear Nonsmooth Periodic Systems
Evgenia H. Papageorgiou
Nikolaos S. Papageorgiou
Czechoslovak Mathematical Journal, 2004, 54 : 347 - 371
[44] Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
Infante, Gennaro
Pietramala, Paolamaria
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (14) : 2080 - 2090
[45] Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
Papageorgiou, EH
Papageorgiou, NS
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (02) : 347 - 371
[46] Multiple positive solutions for a class of semilinear elliptic systems with nonlinear boundary condition
Li H.
Wu X.-P.
Tang C.-L.
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 617 - 630
[47] Nonlinear elliptic problems under mixed boundary value conditions in nonsmooth domains
Ebmeyer, C
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (01) : 103 - 118
[48] Multiple solutions of a quasilinear elliptic system involving the nonlinear boundary conditions on exterior domain
Liu, Shuai
Chen, Caisheng
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (01) : 5 - 17
[49] Existence of Multiple Solutions for Certain Quasilinear Elliptic Problems Under Flux Boundary Conditions
Ahmed, Ahmed
Ahmedatt, Taghi
JOURNAL OF MATHEMATICS, 2024, 2024
[50] Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth
Anna Maria Candela
Caterina Sportelli
Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 2341 - 2369

← 1 2 3 4 5 →