Constant-sign and nodal solutions of coercive (p, q)-Laplacian problems

被引：57

作者：

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 77卷

关键词：

(p; q)-Laplace operator; Constant-sign solutions; Nodal solutions; MULTIPLE SOLUTIONS; P-LAPLACIAN; EXISTENCE;

D O I：

10.1016/j.na.2012.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a greatest negative, a smallest positive, and a nodal weak solution to a Dirichlet problem with (p, q)-Laplacian and reaction term that makes coercive the corresponding energy functional is investigated via variational methods besides truncation techniques. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：118 / 129

页数：12

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[2]

[Anonymous], 1968, LINEAR QUASILINEAR E

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