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.
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页数：23
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