Existence of solutions to singular fourth-order elliptic equations

Existence of solutions to singular fourth-order elliptic equations

Using a method developed by Ambrosetti et al [1,2] we prove the existence of weak non trivial solutions to fourth-order elliptic equations with singularities and with critical Sobolev growth

Bibliographic Details
Main Authors: Mohammed Benalili, Kamel Tahri
Format: Article
Language:English
Published: Texas State University 2013-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Fourth-order elliptic equation
Hardy-Sobolev inequality
critical Sobolev exponent
Online Access:http://ejde.math.txstate.edu/Volumes/2013/63/abstr.html
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spelling doaj-8fd3e42db9b649368e2028c87fdf861e2020-11-24T21:35:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-03-01201363,123Existence of solutions to singular fourth-order elliptic equationsMohammed BenaliliKamel TahriUsing a method developed by Ambrosetti et al [1,2] we prove the existence of weak non trivial solutions to fourth-order elliptic equations with singularities and with critical Sobolev growth http://ejde.math.txstate.edu/Volumes/2013/63/abstr.htmlFourth-order elliptic equationHardy-Sobolev inequalitycritical Sobolev exponent
collection DOAJ
language English
format Article
sources DOAJ
author Mohammed Benalili
Kamel Tahri
spellingShingle Mohammed Benalili
Kamel Tahri
Existence of solutions to singular fourth-order elliptic equations
Electronic Journal of Differential Equations
Fourth-order elliptic equation
Hardy-Sobolev inequality
critical Sobolev exponent
author_facet Mohammed Benalili
Kamel Tahri
author_sort Mohammed Benalili
title Existence of solutions to singular fourth-order elliptic equations
title_short Existence of solutions to singular fourth-order elliptic equations
title_full Existence of solutions to singular fourth-order elliptic equations
title_fullStr Existence of solutions to singular fourth-order elliptic equations
title_full_unstemmed Existence of solutions to singular fourth-order elliptic equations
title_sort existence of solutions to singular fourth-order elliptic equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-03-01
description Using a method developed by Ambrosetti et al [1,2] we prove the existence of weak non trivial solutions to fourth-order elliptic equations with singularities and with critical Sobolev growth
topic Fourth-order elliptic equation
Hardy-Sobolev inequality
critical Sobolev exponent
url http://ejde.math.txstate.edu/Volumes/2013/63/abstr.html
work_keys_str_mv AT mohammedbenalili existenceofsolutionstosingularfourthorderellipticequations
AT kameltahri existenceofsolutionstosingularfourthorderellipticequations
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