NEUMANN PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONSINVOLVING VARIABLE EXPONENT AND MEASURE DATA

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Résumé

This paper deals with the question of the existence of entropy solutions for the problem− div(a(x, u, ∇u) + φ(u)) + g(x, u, ∇u) = µ posed in an open bounded subset Ω of R^N with the homogeneous Neumann boundary condition (a(x, u, ∇u) + φ(u)) · η = 0. The functional setting involves Lebesgue and Sobolev spaces with variable exponent

Mots-clés

Nonlinear elliptic problem, variable exponents, entropy solution, Neumannboundary conditions, Radon measure