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Physical Sciences and Engineering Mathematics Analysis

Multiple solutions of sublinear elliptic equations with small perturbations

Article ID Journal Published Year Pages File Type
4617103 Journal of Mathematical Analysis and Applications 2013 10 Pages PDF
Abstract

We study the sublinear elliptic equation having two nonlinear terms, where the main term f(x,u)f(x,u) is sublinear and odd with respect to uu and the perturbation term is any continuous function with a small coefficient. Then we prove the existence of multiple small solutions.

Keywords
Variational methodSymmetric mountain pass lemmaSemilinear elliptic equation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Multiple solutions of sublinear elliptic equations with small perturbations
Authors
Ryuji Kajikiya,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Variational method
Symmetric mountain pass lemma
Semilinear elliptic equation
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