Multiple solutions for a p-Laplacian elliptic problem
1 School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou, 350007, P.R. China
2 Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou, 350108, P.R. China
Boundary Value Problems 2014, 2014:124 doi:10.1186/1687-2770-2014-124Published: 20 May 2014
We consider the following p-Laplacian elliptic equation on : . For certain , we are interested in the functional on a group invariant subspace, and we obtain the existence of infinitely many radial solutions and non-radial solutions of the equation, which extends the result of (Bartsch and Willem in J. Funct. Anal. 117:447-460, 1993) to the space .