On some p(x)-quasilinear problem with right-hand side measure

In this paper we investigate the existence of entropy solution for the following nonlinear elliptic equation involving p(x)-Laplacian type operator,−Δp(x)u+|u|p(x)−2u=μin a bounded set Ω⊂ℝN, coupled with a Dirichlet boundary condition. For right-hand side measure μ which admits a decomposition in L1(Ω)+W−1,p′(x)(Ω).

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Year of publication:	2014
Authors:	Azroul, E. ; Benboubker, M.B. ; Rhoudaf, M.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 102.2014, C, p. 117-130
Publisher:	Elsevier
Subject:	p(x)-Laplacian operator \| Variable exponent \| Entropy solutions \| Truncations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051191