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

Author

Listed:
  • Azroul, E.
  • Benboubker, M.B.
  • Rhoudaf, M.

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).

Suggested Citation

  • Azroul, E. & Benboubker, M.B. & Rhoudaf, M., 2014. "On some p(x)-quasilinear problem with right-hand side measure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 117-130.
    • Handle: RePEc:eee:matcom:v:102:y:2014:i:c:p:117-130
    DOI: 10.1016/j.matcom.2013.09.009
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    Cited by:

    1. Zengfei Chen & Bingliang Shen, 2023. "The Existence of Entropy Solutions for a Class of Parabolic Equations," Mathematics, MDPI, vol. 11(17), pages 1-24, August.

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