Bin Ge, Qingmei Zhou
Abstract:
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 email: gebin04523080261@163.com | |
Qingmei Zhou Library, Northeast Forestry University Harbin 150040, China email: zhouqingmei2008@163.com |
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