Infinitely many solutions of some nonlinear variational equations

被引：44

作者：

Candela, Anna Maria ^{[1
]}

Palmieri, Giuliana ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 04期

关键词：

CRITICAL-POINTS; MULTIPLE SOLUTIONS; FUNCTIONALS; EXISTENCE;

D O I：

10.1007/s00526-008-0193-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is investigating the existence of one or more critical points of a family of functionals which generalizes the model problem (J) over bar (u) = integral(Omega) (S) over bar (x. u) vertical bar del u vertical bar(p) dx - integral(Omega) G(x, u)dx in the Banach space W(0)(1,p) (Omega) boolean AND L(infinity) (Omega) a bounded domain in R(N). In order to use "classical" theorems, a suitable variant of condition ( C) is proved and W(0)(1,p) (Omega) is decomposed according to a "good" sequence of finite dimensional subspaces.

引用

页码：495 / 530

页数：36

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