Geodesic
Existence of solutions for quasilinear parabolic equations at resonance
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35H30, 35K58, 65L60
Keywords: weighted Sobolev space, quasilinear parabolic equation, resonance 
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     author = {Jia, Gao and Zhang, Xiao-Juan and Huang, Li-Na},
     title = {Existence of solutions for quasilinear parabolic equations at resonance},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a5/}
}
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Jia, Gao; Zhang, Xiao-Juan; Huang, Li-Na. Existence of solutions for quasilinear parabolic equations at resonance. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a5/