Quasilinear degenerated equations with $L^1$ datum and without coercivity in perturbation terms

In this paper we study the existence of solutions for the generated boundary value problem, with initial datum being an element of $L^1(\Omega)+W^{-1, p'}(\Omega, w^{*})$ $$-{\rm div}a(x, u, \nabla u) + g(x, u, \nabla u) = f-{\rm div}F $$ where $a(.)$ is a Carathéodory function satisfying the...

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Bibliographic Details
Main Authors: L. Aharouch, El houssine Azroul, A. Benkirane
Format: Article
Language:English
Published: University of Szeged 2006-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=253