Existence theorems for noncoercive elliptic problems with discontinuous nonlinearities

被引：0

作者：

Halidias, N ^{[1
]}

机构：

[1] Univ Aegean, Dept Stat & Actuarial Sci, Karlovassi 83200, Samos, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 08期

关键词：

Ambrosetti-Prodi problems; mountain-pass theorem; locally Lipschitz functionals;

D O I：

10.1016/S0362-546X(03)00136-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are interested for elliptic problems of Ambrosetti-Prodi type with discontinuous nonlinearities. The differential operator is the p-Laplacian and we use a variational method for locally Lipschitz functionals due to Chang: We do not use the method of upper and lower solution and we do not suppose any monotonicity condition on the right-hand side. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1355 / 1364

页数：10

共 50 条

[41] ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
BROWDER, FE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1959, 45 (03) : 365 - 372
[42] EXISTENCE OF SOLUTIONS TO NONLOCAL ELLIPTIC PROBLEMS WITH SINGULAR AND COMBINED NONLINEARITIES
Leon Tordecilla, Jesus Alberto
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (40)
[43] Noncoercive elliptic equations with discontinuous coefficients in unbounded domains
Monsurro, Sara
Transirico, Maria
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 163 : 86 - 103
[44] A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities
Quittner, Pavol
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 102 : 144 - 158
[45] Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities
Pavlenko, V. N.
Potapov, D. K.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (02) : 288 - 295
[46] Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities
V. N. Pavlenko
D. K. Potapov
[J]. Siberian Mathematical Journal, 2017, 58 : 288 - 295
[47] Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
Bonanno, Gabriele
Candito, Pasquale
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) : 3031 - 3059
[48] Multiple solutions for a class of quasilinear elliptic problems with discontinuous nonlinearities and weights
Wang, Chengfu
Huang, Yisheng
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4076 - 4081
[49] UNIFORMLY NONCOERCIVE PROBLEMS FOR ELLIPTIC EQUATIONS
BAINBERG, BR
GRUSHIN, VV
[J]. DOKLADY AKADEMII NAUK SSSR, 1967, 172 (04): : 759 - &
[50] An existence result for first order periodic problems with discontinuous and singular nonlinearities
Cherpion, M
Habets, P
Pouso, RL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) : 2431 - 2436

← 1 2 3 4 5 →