Existence and uniqueness of solutions for some degenerate nonlinear Dirichlet problems

Published by De Gruyter June 4, 2013

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Abstract.

In this work we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations

in the setting of the weighted Sobolev spaces .

Received: 2011-11-10

Revised: 2012-02-08

Accepted: 2012-02-13

Published Online: 2013-06-04

Published in Print: 2013-06-01