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

E Azroul,M.B Benboubker,M Rhoudaf

doi:10.1016/j.matcom.2013.09.009

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

E Azroul, M.B Benboubker + Show 1 more

https://doi.org/10.1016/j.matcom.2013.09.009

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Journal: Mathematics and Computers in Simulation	Publication Date: Sep 25, 2013
Citations: 14

Affiliation: Agence pour le Développement et la Réhabilitation de la Ville de Fès, École Nationale de Commerce et de Gestion de Tanger

#Right-hand Side Measure #Laplacian Type Operator + Show 8 more

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Abstract

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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