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Multiple solutions of semilinear degenerate elliptic boundary value problems II

✍ Scribed by Kazuaki Taira

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
130 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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.

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