Nonlinear Robin problems with indefinite potential

被引：8

作者：

Leonardi, S. ^{[1
]}

Onete, Florin, I ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Univ Craiova, Dept Math, 13 AI Cuza St, Craiova 200585, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 195卷

关键词：

Nonlinear regularity; Nonlinear maximum principle; Extremal constant sign solutions; Nodal solutions; Critical groups;

D O I：

10.1016/j.na.2020.111760

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear Robin problem driven by the p-Laplacian plus an indefinite potential. The conditions on the source term are minimal. We prove two multiplicity theorems with sign information for all the solutions. In the semilinear case (p = 2), we show that we can have multiple nodal solutions. We apply our results to a special class of logistic equations with equidiffusive reaction. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：23

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