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
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Texas State University
2013-03-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2013/63/abstr.html |
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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 |
_version_ |
1725944620938952704 |