Multiple solutions of semilinear degenerate elliptic boundary value problems II

被引：3

作者：

Taira, Kazuaki ^{[1
]}

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2011年 / 284卷 / 11-12期

关键词：

Semilinear elliptic boundary value problem; degenerate boundary condition; Leray-Schauder degree; Schauder's fixed point theorem; EIGENVALUE PROBLEMS;

D O I：

10.1002/mana.201190026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dedicated to Professor Izumi Kubo on the occasion of his 70th birthday The purpose of this paper is to study a class of semilinear degenerate elliptic boundary value problems depending on a parameter which include as particular cases the Dirichlet problem and the Robin problem. By using Schauder's fixed point theorem and the Leray-Schauder degree, we derive lower bounds on the number of solutions of our problem. The results here extend earlier theorems due to Kazdan-Warner and also Amann-Hess to the degenerate case. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1554 / 1566

页数：13

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