DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Soojung | ko |
dc.date.accessioned | 2018-01-22T02:03:53Z | - |
dc.date.available | 2018-01-22T02:03:53Z | - |
dc.date.created | 2017-12-18 | - |
dc.date.created | 2017-12-18 | - |
dc.date.issued | 2018-02 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.264, no.3, pp.1613 - 1660 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/237146 | - |
dc.description.abstract | We study viscosity solutions to degenerate and singular elliptic equations L-F vertical bar u vertical bar : = div(F'(del vertical bar del u vertical bar)/vertical bar del u vertical bar u) = h of p-Laplacian type on Riemannian manifolds, where an even function F is an element of C-1 (R) boolean AND C-2 (0, infinity) is supposed to be strictly convex on (0, infinity). Under the assumption that either F is an element of C-2 (R) or its convex conjugate F* is an element of C-2 (R) with some structural condition, we establish a (locally) uniform ABP type estimate and the Krylov-Safonov type Harnack inequality on Riemannian manifolds with the use of an intrinsic geometric quantity to the operator. Here, the C-2-regularities of F and F* account for degenerate and singular operators, respectively. (c) 2017 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
dc.subject | SMALL PERTURBATION SOLUTIONS | - |
dc.subject | GENERAL GROWTH-CONDITIONS | - |
dc.subject | BAKELMAN-PUCCI ESTIMATE | - |
dc.subject | VISCOSITY SOLUTIONS | - |
dc.subject | INTEGRAL FUNCTIONALS | - |
dc.subject | PARABOLIC EQUATIONS | - |
dc.subject | NONSTANDARD GROWTH | - |
dc.subject | HARMONIC-FUNCTIONS | - |
dc.subject | MEAN-CURVATURE | - |
dc.title | Harnack inequality for quasiiinear elliptic equations on Riemannian manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000417003900005 | - |
dc.identifier.scopusid | 2-s2.0-85031094723 | - |
dc.type.rims | ART | - |
dc.citation.volume | 264 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 1613 | - |
dc.citation.endingpage | 1660 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2017.10.003 | - |
dc.contributor.localauthor | Kim, Soojung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
dc.subject.keywordPlus | SMALL PERTURBATION SOLUTIONS | - |
dc.subject.keywordPlus | GENERAL GROWTH-CONDITIONS | - |
dc.subject.keywordPlus | BAKELMAN-PUCCI ESTIMATE | - |
dc.subject.keywordPlus | VISCOSITY SOLUTIONS | - |
dc.subject.keywordPlus | INTEGRAL FUNCTIONALS | - |
dc.subject.keywordPlus | PARABOLIC EQUATIONS | - |
dc.subject.keywordPlus | NONSTANDARD GROWTH | - |
dc.subject.keywordPlus | HARMONIC-FUNCTIONS | - |
dc.subject.keywordPlus | MEAN-CURVATURE | - |
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