Existence of a Solution for Some Singular Quasilinear Problem with Variable Exponent and Containing Gradient Term
Sami Aouaoui
Source: Commun. Math. Anal. Volume 11, Number 2
(2011), 46-69.
Abstract
In this paper we study an elliptic equation involving variable exponents and containing a singular lower order terms with $p(x)-$growth in the gradient. Through an approximation approach, we prove the existence of a nonnegative distributional solution in the whole space $\mathbb{R}^N. $
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Keywords: Singularity; variable exponent growth conditions; Lebesgue-Sobolev generalized spaces; approximation
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Permanent link to this document: http://projecteuclid.org/euclid.cma/1298669955
Mathematical Reviews number (MathSciNet): MR2780882
Zentralblatt MATH identifier: 1216.35066
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