Mountain pass solutions to equations of p-Laplacian type

被引：89

作者：

De Nápoli, P ^{[1
]}

Mariani, MC ^{[1
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, FCEyN, RA-1428 Buenos Aires, DF, Argentina

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 07期

关键词：

p-Laplacian; multiple solutions; mountain pass theorem; uniform convexity; Clarkson inequality;

D O I：

10.1016/S0362-546X(03)00105-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex functional that generalizes the notion of uniformly convex norm. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1205 / 1219

页数：15

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