A remark on some nonlinear elliptic problems

We shall prove an existence result of $W_0^{1,p}(Omega)$ solutions for the boundary value problem $$displylines{ -mathop{m div} a(x, u,abla u)=F quadmbox{in }Omegacr u=0quadmbox{on }partialOmega }$$ with right hand side in $W^{-1,p'}(Omega)$. The features of the equation are that no restriction...

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Bibliographic Details
Main Author: Lucio Boccardo
Format: Article
Language:English
Published: Texas State University 2002-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/08/b4/abstr.html