Document Type
Article
Publication Date
3-2015
Publication Title
Electronic Journal of Differential Equations
ISSN
1072-6691
Abstract
In this article, we study the existence of solution for the following elliptic system of variable exponents with perturbation terms − div |∇u| p(x)−2∇u) + |u| p(x)−2u = λa(x)|u| γ(x)−2u + Fu(x, u, v) in R N , − div |∇v| q(x)−2∇v) + |v| q(x)−2 v = λb(x)|v| δ(x)−2 v + Fv(x, u, v) in R N , u ∈ W1,p(·) (R N ), v ∈ W1,q(·) (R N ), where the corresponding functional does not satisfy PS conditions. We obtain a sufficient condition for the existence of solution and also present a result on asymptotic behavior of solutions at infinity.
Recommended Citation
Yin, Li, Yuan Liang, Qihu Zhang, Chunshan Zhao.
2015.
"Existence of Solutions for a Variable Exponent System without PS Conditions."
Electronic Journal of Differential Equations, 2015 (63): 1-23.
source: http://ejde.math.txstate.edu/Volumes/2015/63/yin.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/363
Comments
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