Gao Jia, Xiao-Juan Zhang, Li-Na Huang
Abstract:
In this article, we show the existence of nontrivial solutions
for a class of quasilinear parabolic differential equations.
To obtain the solution in a weighted Sobolev space,
we use the Galerkin method, Brouwer's theorem, and a
compact Sobolev-type embedding theorem proved by Shapiro.
Submitted March 29, 2012. Published January 14, 2013.
Math Subject Classifications: 35H30, 35K58, 65L60.
Key Words: Weighted Sobolev space; quasilinear parabolic equation; resonance.
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Gao Jia College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: gaojia79@yahoo.com.cn, gaojia79@139.com |
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Xiao-Juan Zhang College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: zhangxiaojuan0609@163.com |
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Li-Na Huang College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: hln881229@163.com |
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