Infinitely many solutions of some nonlinear variational equations

被引：42
|
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.
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页码：495 / 530
页数：36
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