Quasilinear elliptic equations with signed measure data
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This 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.contributor.author | Wang, Xu-Jia | |
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dc.contributor.author | Trudinger, Neil | |
dc.date.accessioned | 2015-09-22T01:00:37Z | |
dc.date.available | 2015-09-22T01:00:37Z | |
dc.identifier.issn | 1078-0947 | |
dc.identifier.uri | http://hdl.handle.net/1885/15621 | |
dc.description.abstract | This 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.format | 18 pages | |
dc.publisher | American Mathematical Society | |
dc.rights | © American Institute of Mathematical Sciences (AIMS) | |
dc.source | Discrete and Continuous Dynamical Systems - Series A | |
dc.subject | quasilinear elliptic equations | |
dc.subject | continuity | |
dc.subject | Dirichlet problem | |
dc.subject | generalized solutions | |
dc.subject | weak convergence result | |
dc.subject | subharmonic functions | |
dc.subject | non-negative measures | |
dc.subject | uniqueness | |
dc.subject | uniformly elliptic operators | |
dc.subject | p-Laplacian | |
dc.title | Quasilinear elliptic equations with signed measure data | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 23 | |
dc.date.issued | 2009-01 | |
local.identifier.absfor | 010110 | |
local.identifier.ariespublication | u9209279xPUB84 | |
local.publisher.url | http://aimsciences.org/ | |
local.type.status | Published Version | |
local.contributor.affiliation | Trudinger, Neil, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National University | |
local.contributor.affiliation | Wang, Xu-Jia, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National University | |
local.identifier.essn | 1553-5231 | |
local.bibliographicCitation.issue | 1 | |
local.bibliographicCitation.startpage | 477 | |
local.bibliographicCitation.lastpage | 494 | |
local.identifier.doi | 10.3934/dcds.2009.23.477 | |
dc.date.updated | 2015-12-08T08:23:43Z | |
local.identifier.scopusID | 2-s2.0-60949109299 | |
local.identifier.thomsonID | 000260923300026 | |
Collections | ANU Research Publications |
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