Title

Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3

Editor(s)

Bressan, Alberto and Chow, Shui-Nee and Mallet-Paret, John and Ni, Wei-Ming

Abstract

We study the existence, multiplicity and concentration behavior of positive solutions for the nonlinear Kirchhoff type problem where ε>0 is a parameter and a,b>0 are constants; V is a positive continuous potential satisfying some conditions and f is a subcritical nonlinear term. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using the variational methods.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Positive Solutions; Kirchoff Type Equation; Variational Methods

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Elsevier, All rights reserved.


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