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Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations

  • Albo Carlos Cavalheiro EMAIL logo
Published/Copyright: October 14, 2014

Abstract

In this paper we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated to the degenerate nonlinear elliptic equations -j=1nDj[v2(x)𝒜j(x,u,u)]+j=1nbj(x)v1(x)Dju(x)+αg(x)v3(x)u(x)=f0(x)-j=1nDjfj(x) on Ω in the setting of the weighted Sobolev spaces W01,2(Ω,v1,v2).

MSC: 35J70; 35J60

We thank the referee for his/her helpful suggestions which improved the original results.

Received: 2013-6-27
Revised: 2014-6-29
Accepted: 2014-7-10
Published Online: 2014-10-14
Published in Print: 2014-12-1

© 2014 by De Gruyter

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