Existence of solutions for quasilinear parabolic equations at resonance
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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/13/abstr.html |