Document Type
Article
Publication Date
7-7-2014
Publication Title
Electronic Journal of Differential Equations
ISSN
1072-6691
Abstract
In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem −∆p(x)u = λf(x, u) in a bounded domain Ω ⊂ RN. The singular nonlinearity term f is allowed to be either f(x, s) → +∞, or f(x, s) → +∞ as s → 0+ for each x ∈ Ω. Our main results generalize the results in [15] from constant exponents to variable exponents. In particular, we give the asymptotic behavior of solutions of a simpler equation which is useful for finding supersolutions of differential equations with variable exponents, which is of independent interest.
Recommended Citation
Liu, Jingjing, Qihu Zhang, Chunshan Zhao.
2014.
"Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term."
Electronic Journal of Differential Equations, 2014 (155): 1-21.
source: http://ejde.math.txstate.edu/Volumes/2014/155/abstr.html
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/323
Comments
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