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

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