DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byun, Sun-Sig | ko |
dc.contributor.author | Lee, Mikyoung | ko |
dc.contributor.author | Ok, Jihoon | ko |
dc.date.accessioned | 2017-10-23T01:54:56Z | - |
dc.date.available | 2017-10-23T01:54:56Z | - |
dc.date.created | 2017-10-10 | - |
dc.date.created | 2017-10-10 | - |
dc.date.issued | 2017-10 | - |
dc.identifier.citation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.162, pp.178 - 196 | - |
dc.identifier.issn | 0362-546X | - |
dc.identifier.uri | http://hdl.handle.net/10203/226394 | - |
dc.description.abstract | In this paper we develop a global W-2,W-p estimate for the viscosity solution of the Dirichlet problem of fully nonlinear elliptic equations F(D(2)u, Du, u, x) = f(x) in Omega, u = 0 on partial derivative Omega to a more general function space. Given an N-function Phi and a Muckenhoupt weight w, we prove that if f belongs to the associated weighted Orlicz space L-w(Phi) (Omega), then D(2)u is an element of L-w(Phi) (Omega) and u satisfies a global W-w(2,Phi) estimate, under a minimal regularity requirement on F in the variable x and a basic geometric assumption on partial derivative Omega. The correct condition on the couple, Phi and w, is also addressed. This result generalizes the W-2,W-p estimate (Caffarelli, 1989, Escauriaza, 1993, Winter, 2009) of Calderon and Zygmund as well as an analogous one (Byun et al., 2016) in the weighted L-p setting. (C) 2017 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | HARDY MAXIMAL-FUNCTION | - |
dc.subject | PARABOLIC EQUATIONS | - |
dc.subject | INEQUALITIES | - |
dc.title | Weighted regularity estimates in Orlicz spaces for fully nonlinear elliptic equations | - |
dc.type | Article | - |
dc.identifier.wosid | 000410619900011 | - |
dc.identifier.scopusid | 2-s2.0-85026453136 | - |
dc.type.rims | ART | - |
dc.citation.volume | 162 | - |
dc.citation.beginningpage | 178 | - |
dc.citation.endingpage | 196 | - |
dc.citation.publicationname | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.na.2017.06.011 | - |
dc.contributor.nonIdAuthor | Byun, Sun-Sig | - |
dc.contributor.nonIdAuthor | Ok, Jihoon | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Fully nonlinear equation | - |
dc.subject.keywordAuthor | Viscosity solution | - |
dc.subject.keywordAuthor | Regularity | - |
dc.subject.keywordAuthor | Hessian estimates | - |
dc.subject.keywordAuthor | Muckenhoupt weight | - |
dc.subject.keywordAuthor | Orlicz space | - |
dc.subject.keywordPlus | HARDY MAXIMAL-FUNCTION | - |
dc.subject.keywordPlus | PARABOLIC EQUATIONS | - |
dc.subject.keywordPlus | INEQUALITIES | - |
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