Robin problems with indefinite, unbounded potential and reaction of arbitrary growth

被引：27

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

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

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Simion Stoilow Romanian Acad, Inst Math, Bucharest 014700, Romania

来源：

REVISTA MATEMATICA COMPLUTENSE | 2016年 / 29卷 / 01期

关键词：

Indefinite and unbounded potential; Robin boundary condition; Constant sign and nodal solutions; Multiplicity theorem; Critical groups; NEUMANN PROBLEMS; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEMS; MULTIPLE SOLUTIONS; SIGN;

D O I：

10.1007/s13163-015-0181-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an elliptic Robin problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a reaction of arbitrary growth which exhibits z-dependent zeros of constant sign. We prove multiplicity theorems producing three or four nontrivial solutions, all with precise sign information. As a particular case we consider a generalized equidiffusive logistic equation with potential.

引用

页码：91 / 126

页数：36

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