Show simple item record

dc.contributor.authorJin, Zhiren
dc.date.accessioned2013-07-23T15:39:54Z
dc.date.available2013-07-23T15:39:54Z
dc.date.issued2008
dc.identifier.citationJin, Zhiren. Growth rate and existence of solutions to Dirichlet problems for prescribed mean curvature equations on unbounded domains. Electronic Journal of Differential Equations. Vol. 2008(2008), No. 24, pp. 1-15.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10057/6020
dc.identifier.urihttp://ejde.math.unt.edu/Volumes/2008/24/jin.pdf
dc.descriptionClick on the link to access this article for free at the publisher's website: http://ejde.math.unt.edu/Volumes/2008/24/jin.pdf
dc.description.abstractWe prove growth rate estimates and existence of solutions to Dirichlet problems for prescribed mean curvature equation on unbounded domains inside the complement of a cone or a parabola like region in Rn (n 2). The existence results are proved using a modified Perron’s method by which a subsolution is a solution to the minimal surface equation, while the role played by a supersolution is replaced by estimates on the uniform C0 bounds on the liftings of subfunctions on compact sets.en_US
dc.language.isoen_USen_US
dc.publisherTexas State University - San Marcosen_US
dc.relation.ispartofseriesElectronic Journal of Differential Equations;v.2008 no.24
dc.subjectElliptic boundary-value problem
dc.subjectQuasilinear elliptic equation
dc.subjectPrescribed mean curvature equation
dc.subjectUnbounded domain
dc.subjectPerron’s method
dc.titleGrowth rate and existence of solutions to Dirichlet problems for prescribed mean curvature equations on unbounded domainsen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed
dc.rights.holderCopyright 2008 Department of Mathematics Texas State University-San Marcos


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record