Existence of multiple solutions for the Brezis-Nirenberg-type problem with singular coefficients
1 School of Science, Jiangnan University, Wuxi, 214122, China
2 School of Mathematical Science, Nanjing Normal University, Nanjing, 210097, China
3 Institute of Science, PLA University of Science and Technology, Nanjing, 211101, China
Boundary Value Problems 2012, 2012:137 doi:10.1186/1687-2770-2012-137Published: 26 November 2012
By energy estimates and by establishing a local (PS) condition, we obtain the multiplicity of solutions to a class of Brezis-Nirenberg-type problem with singular coefficients via minimax methods and the Krasnoselskii genus theory.