Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Quasilinear elliptic equations with signed measure data

Simple item page
dc.contributor.authorWang, Xu-Jia
dc.contributor.authorTrudinger, Neil
dc.date.accessioned2015-09-22T01:00:37Z
dc.date.available2015-09-22T01:00:37Z
dc.date.issued2009-01
dc.date.updated2015-12-08T08:23:43Z
dc.description.abstractThis paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a signed measure. We first prove the existence and continuity of generalized solutions to the Dirichlet problem. The main result of this paper is a weak convergence result, extending previous work of the authors for subharmonic functions and non-negative measures. We also prove a uniqueness result for uniformly elliptic operators and for operators of p-Laplacian type.
dc.format18 pages
dc.identifier.issn1078-0947en_AU
dc.identifier.urihttp://hdl.handle.net/1885/15621
dc.publisherAmerican Mathematical Society
dc.rights© American Institute of Mathematical Sciences (AIMS)
dc.sourceDiscrete and Continuous Dynamical Systems - Series A
dc.subjectquasilinear elliptic equations
dc.subjectcontinuity
dc.subjectDirichlet problem
dc.subjectgeneralized solutions
dc.subjectweak convergence result
dc.subjectsubharmonic functions
dc.subjectnon-negative measures
dc.subjectuniqueness
dc.subjectuniformly elliptic operators
dc.subjectp-Laplacian
dc.titleQuasilinear elliptic equations with signed measure data
dc.typeJournal article
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage494en_AU
local.bibliographicCitation.startpage477en_AU
local.contributor.affiliationTrudinger, Neil, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationWang, Xu-Jia, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu7301385en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010110en_AU
local.identifier.ariespublicationu9209279xPUB84en_AU
local.identifier.citationvolume23en_AU
local.identifier.doi10.3934/dcds.2009.23.477en_AU
local.identifier.essn1553-5231en_AU
local.identifier.scopusID2-s2.0-60949109299
local.identifier.thomsonID000260923300026
local.publisher.urlhttp://aimsciences.org/en_AU
local.type.statusPublished Versionen_AU

Downloads

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
884 B
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS