Bin Ge, Qingmei Zhou
This article concerns the existence and multiplicity of solutions to a class of p(x)-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.
Submitted March 4, 2014. Published June 10, 2014.
Math Subject Classifications: 35J60, 35J20, 58E30.
Key Words: p(x)-Laplacian; variational method; radial solution; Ambrosetti-Rabinowitz condition.
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| Bin Ge |
Department of Applied Mathematics
Harbin Engineering University
Harbin 150001, China
| Qingmei Zhou |
Library, Northeast Forestry University
Harbin 150040, China
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