Title of article
Resonance Problem of a Class of Quasilinear Parabolic Equations
Author/Authors
Xiang ، Wang Zhong - University of Shanghai for Science and Technology , Gao ، Jia - University of Shanghai for Science and Technology , Juan ، Zhang Xiao - University of Shanghai for Science and Technology
Pages
17
From page
78
To page
94
Abstract
In this paper, we study the resonance problem of a class of singular quasilinear parabolic equations with respect to its higher near-eigenvalues. Under a generalized Landesman-Lazer condition, it is proved that the resonance problem admits at least one nontrivial solution in weighted Sobolev spaces. The proof is based upon applying the Galerkin-type technique, the Brouwer s fixed-point theorem and a compact embedding theorem of weighted Sobolev spaces by Shapiro.
Keywords
Weighted Sobolev Space , Quasilinear Parabolic Equation , Resonance
Journal title
General Mathematics Notes
Serial Year
2014
Journal title
General Mathematics Notes
Record number
2457693
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