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On a class of nonlinear elliptic problems with obstacle

On a class of nonlinear elliptic problems with obstacle AbstractThis paper deals with the existence and regularity of some unilateral problem associated to a nonlinear equation of type -div⁡(a⁢(x,u,∇⁡u))+H⁢(x,u,∇⁡u)=f{-\operatorname{div}(a(x,u,\nabla u))+H(x,u,\nabla u)=f}. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On a class of nonlinear elliptic problems with obstacle

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References (4)

Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2020-2085
Publisher site
See Article on Publisher Site

Abstract

AbstractThis paper deals with the existence and regularity of some unilateral problem associated to a nonlinear equation of type -div⁡(a⁢(x,u,∇⁡u))+H⁢(x,u,∇⁡u)=f{-\operatorname{div}(a(x,u,\nabla u))+H(x,u,\nabla u)=f}.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Oct 1, 2021

Keywords: Sobolev spaces; nonlinear elliptic problem; truncations; unilateral problems; 35J25; 35J60; 35J65

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