Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions
College of Science, Guizhou Minzu University, Guiyang, Guizhou, 550025, People’s Republic of China
Boundary Value Problems 2014, 2014:19 doi:10.1186/1687-2770-2014-19Published: 16 January 2014
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.