Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong-Cheol | - |
dc.contributor.author | Lee, Ki-Ahm | - |
dc.date.accessioned | 2021-09-06T13:55:20Z | - |
dc.date.available | 2021-09-06T13:55:20Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2012-11 | - |
dc.identifier.issn | 0025-2611 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/107099 | - |
dc.description.abstract | In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate corresponding to the full class of uniformly elliptic nonlinear equations with 1 < sigma < 2 (subcritical case) and to their subclass with 0 < sigma a parts per thousand currency sign 1. We show that still includes a large number of nonlinear operators as well as linear operators. And we show a Harnack inequality, Holder regularity, and C (1,alpha) -regularity of the solutions by obtaining decay estimates of their level sets in each cases. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.subject | HARNACK INEQUALITIES | - |
dc.subject | VARIABLE ORDER | - |
dc.subject | JUMP-PROCESSES | - |
dc.subject | EQUATIONS | - |
dc.title | Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
dc.identifier.doi | 10.1007/s00229-011-0516-z | - |
dc.identifier.scopusid | 2-s2.0-84867019814 | - |
dc.identifier.wosid | 000309364200002 | - |
dc.identifier.bibliographicCitation | MANUSCRIPTA MATHEMATICA, v.139, no.3-4, pp.291 - 319 | - |
dc.relation.isPartOf | MANUSCRIPTA MATHEMATICA | - |
dc.citation.title | MANUSCRIPTA MATHEMATICA | - |
dc.citation.volume | 139 | - |
dc.citation.number | 3-4 | - |
dc.citation.startPage | 291 | - |
dc.citation.endPage | 319 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | HARNACK INEQUALITIES | - |
dc.subject.keywordPlus | VARIABLE ORDER | - |
dc.subject.keywordPlus | JUMP-PROCESSES | - |
dc.subject.keywordPlus | EQUATIONS | - |
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