Positive solutions of critical quasilinear elliptic problems in general domains
We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1998-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533759800044X |
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doaj-2e5699a5ad024cb0aa0b0bb7112811a42020-11-24T23:13:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751998-01-0131-2658410.1155/S108533759800044XPositive solutions of critical quasilinear elliptic problems in general domainsFilippo Gazzola0Dipartimento di Scienze T.A., via Cavour 84, Alessandria 15100, ItalyWe consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.http://dx.doi.org/10.1155/S108533759800044X |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Filippo Gazzola |
| spellingShingle |
Filippo Gazzola Positive solutions of critical quasilinear elliptic problems in general domains Abstract and Applied Analysis |
| author_facet |
Filippo Gazzola |
| author_sort |
Filippo Gazzola |
| title |
Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_short |
Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_full |
Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_fullStr |
Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_full_unstemmed |
Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_sort |
positive solutions of critical quasilinear elliptic problems in
general domains |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 |
| publishDate |
1998-01-01 |
| description |
We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments. |
| url |
http://dx.doi.org/10.1155/S108533759800044X |
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AT filippogazzola positivesolutionsofcriticalquasilinearellipticproblemsingeneraldomains |
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1725596116123123712 |