Shanming Ji, Jingxue Yin, Rui Huang
Abstract:
In this article, we establish the existence of minimizers for energy
integrals associated with the p-Laplacian in
with the admissible set being a rearrangement class of a given function.
Some representation formulae of the minimizers are also stated.
Submitted April 3, 2014. Published June 11, 2014.
Math Subject Classifications: 34K37, 46E35, 47H10.
Key Words: Sobolev space; periodic solution; locally Lipschitz potential;
AR-condition; nonsmooth C-condition;
the least action principle; mountain pass lemma.
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Shanming Ji School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: sam@m.scnu.edu.cn | |
Jingxue Yin School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: yjx@scnu.edu.cn | |
Rui Huang School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: huang@scnu.edu.cn |
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