A boundary expansion of solutions to nonlinear singular elliptic equations

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dc.contributor.authorJian, Huaiyu
dc.contributor.authorLu, Jian
dc.contributor.authorWang, Xu-Jia
dc.date.accessioned2023-02-21T05:24:10Z
dc.date.issued2021
dc.date.updated2021-12-19T07:17:07Z
dc.description.abstractIn this paper we establish an asymptotic expansion near the boundary for solutions to the Dirichlet problem of elliptic equations with singularities near the boundary. This expansion formula shows the singularity profile of solutions at the boundary. We deal with both linear and nonlinear elliptic equations, including fully nonlinear elliptic equations and equations of Monge-Ampère type.en_AU
dc.description.sponsorshipNational Natural Science Foundation of China (Grant Nos. 11771237 and 11871432).en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1674-7283en_AU
dc.identifier.urihttp://hdl.handle.net/1885/285415
dc.language.isoen_AUen_AU
dc.publisherZhongguo Kexue Zazhishe/Science in China Pressen_AU
dc.relationhttp://purl.org/au-research/grants/arc/FL130100118en_AU
dc.sourceScience China Mathematicsen_AU
dc.subjectboundary asymptotic expansionen_AU
dc.subjectsingular nonlinear elliptic equationsen_AU
dc.subjectDirichlet problemen_AU
dc.titleA boundary expansion of solutions to nonlinear singular elliptic equationsen_AU
dc.typeJournal articleen_AU
local.contributor.affiliationJian, Huaiyu, College of Science, ANUen_AU
local.contributor.affiliationLu, Jian, College of Science, ANUen_AU
local.contributor.affiliationWang, Xu-Jia, College of Science, ANUen_AU
local.contributor.authoruidJian, Huaiyu, u4879399en_AU
local.contributor.authoruidLu, Jian, u5485812en_AU
local.contributor.authoruidWang, Xu-Jia, u9514427en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor490410 - Partial differential equationsen_AU
local.identifier.absseo280118 - Expanding knowledge in the mathematical sciencesen_AU
local.identifier.ariespublicationa383154xPUB21666en_AU
local.identifier.doi10.1007/s11425-020-1822-9en_AU
local.identifier.scopusID2-s2.0-85110257716
local.publisher.urlhttps://link.springer.com/en_AU
local.type.statusPublished Versionen_AU

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