Azroul, E.; Benboubker, M.B.; Rhoudaf, M. - In: Mathematics and Computers in Simulation (MATCOM) 102 (2014) C, pp. 117-130
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...