Existence and regularity of the solution of some elliptic problems
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
in this work, we prove the existence and regularity of a weak solutions of elliptic problem
(P) defined by
(P)
{ Au fin 2: u= 0 on 20,
the operator Audiv( Vu - Vu), 1<p< is a pseudo-monotone operator, SELĀ¹(2). The method of solving our problem consist of obtaining local estimates for suitable approximate problems and then passing to the limit.
Description
Keywords
Sobolev spaces, pseudo-monotone, operator nonlinear, elliptic equation, weak solution