CONSTANT-SIGN AND NODAL SOLUTIONS FOR A NEUMANN PROBLEM WITH p-LAPLACIAN AND EQUI-DIFFUSIVE REACTION TERM

被引：0

作者：

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nicolaos 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：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2011年 / 38卷 / 02期

关键词：

p-Laplacian; Neumann problem; constant-sign solutions; nodal solutions; truncations; sub- and super-solutions; critical groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of both constant and sign-changing (namely, nodal) solutions to a Neumann boundary-value problem with p-Laplacian and reaction term depending on a positive parameter is established. Proofs make use of sub- and super-solution techniques as well as critical point theory.

引用

页码：233 / 248

页数：16

共 40 条

[1] MULTIPLE SOLUTIONS TO A NEUMANN PROBLEM WITH EQUI-DIFFUSIVE REACTION TERM
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[2] CONSTANT-SIGN AND NODAL SOLUTIONS TO A DIRICHLET PROBLEM WITH p-LAPLACIAN AND NONLINEARITY DEPENDING ON A PARAMETER
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[10] THREE SOLUTIONS FOR A NEUMANN BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN
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