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.
Recommended Citation
X. He and W. Zou, "Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3," Journal of Differential Equations, Elsevier, Jan 2012.
The definitive version is available at https://doi.org/10.1016/j.jde.2011.08.035
Department(s)
Mathematics and Statistics
Keywords and Phrases
Positive Solutions; Kirchoff Type Equation; Variational Methods
International Standard Serial Number (ISSN)
0022-0396
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 Elsevier, All rights reserved.
Publication Date
01 Jan 2012
