Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data

We study the quasilinear elliptic system $$ -mathop{ m div}sigma(x,u,Du) =v(x)+f(x,u)+mathop{ m div}g(x,u) $$ on a bounded domain of $mathbb{R}^n$ with homogeneous Dirichlet boundary conditions. This system corresponds to a diffusion problem with a source $v$ in a moving and dissolving substance,...

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Bibliographic Details
Main Authors: Fabien Augsburger, Norbert Hungerbuehler
Format: Article
Language:English
Published: Texas State University 2004-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/144/abstr.html