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

E. Azroul, M.B. Benboubker and M. Rhoudaf

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 102, issue C, 117-130

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).

Keywords: p(x)-Laplacian operator; Variable exponent; Entropy solutions; Truncations (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:102:y:2014:i:c:p:117-130

DOI: 10.1016/j.matcom.2013.09.009

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