Multiple solutions for a p-Laplacian elliptic problem

被引：0
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作者：
Jing Zeng
Shuting Cai
机构：
[1] Fujian Normal University,School of Mathematics and Computer Sciences
[2] Fujian Jiangxia University,Department of Mathematics and Physics
来源：
Boundary Value Problems | / 2014卷
关键词：
-Laplacian; infinitely many radial solutions and non-radial solutions; group invariant;
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摘要：
We consider the following p-Laplacian elliptic equation on W1,p(RN): −Δpu+b(|x|)|u|p−2u=f(|x|,u). For certain f(|x|,u), 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 W1,p(RN).
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