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Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains We study the indefinite Kirchhoff-type problem where Ω is a smooth bounded domain in and . We require that f is sublinear at the origin and superlinear at infinity. Using the mountain pass theorem and Ekeland variational principle, we obtain the multiplicity of non-trivial non-negative solutions. We improve and extend some recent results in the literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings of the Royal Society of Edinburgh Section A Mathematics Cambridge University Press

Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

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Publisher
Cambridge University Press
Copyright
Copyright © Royal Society of Edinburgh 2016 
ISSN
1473-7124
eISSN
0308-2105
DOI
10.1017/S0308210515000475
Publisher site
See Article on Publisher Site

Abstract

We study the indefinite Kirchhoff-type problem where Ω is a smooth bounded domain in and . We require that f is sublinear at the origin and superlinear at infinity. Using the mountain pass theorem and Ekeland variational principle, we obtain the multiplicity of non-trivial non-negative solutions. We improve and extend some recent results in the literature.

Journal

Proceedings of the Royal Society of Edinburgh Section A MathematicsCambridge University Press

Published: Mar 3, 2016

Keywords: indefinite Kirchhoff-type equations; variational methods; multiple solutions; Primary 35B09; Secondary 35J20

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