Yu Duan, Chun-Lei Tang
Abstract:
In this article, we study the multiplicity of positive solutions for
a class of Kirchhoff type problems depending on two real functions
and a nonnegative parameter on an unbounded domain.
Using the variational method and iterative techniques, we show that
if the nonlinearity is subcritical and superlinear at zero and infinity,
then the Kirchhoff type problems admits at least two positive solutions
when the parameter is sufficiently small.
Submitted August 28, 2015. Published December 28, 2015.
Math Subject Classifications: 35R09, 35A15, 35B09.
Key Words: Kirchhoff type problems; Pohozaev identity; variational method;
iterative technique.
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Yu Duan School of Mathematics and Statistics Southwest University Chongqing 400715, China email: duanyu3612@163.com | |
Chun-Lei Tang School of Mathematics and Statistics Southwest University Chongqing 400715, China email: tangcl@swu.edu.cn, tangcl8888@sina.com |
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