Open Access Research

Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions

Chang-Mu Chu

Author Affiliations

College of Science, Guizhou Minzu University, Guiyang, Guizhou, 550025, People’s Republic of China

Boundary Value Problems 2014, 2014:19  doi:10.1186/1687-2770-2014-19

Published: 16 January 2014

Abstract

This paper is devoted to the study of a class of Kirchhoff type problems with critical exponent, concave nonlinearity, and sign-changing weight functions. By means of variational methods, the multiplicity of the positive solutions to this problem is obtained.

MSC: 35J20, 35J60, 47J30, 58E50.

Keywords:
Kirchhoff type problem; critical exponent; concave nonlinearity; sign-changing weight functions; variational methods