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 |
| Published: |
Wiley
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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| _version_ | 1832558918743621632 |
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| author | Filippo Gazzola |
| author_facet | Filippo Gazzola |
| author_sort | Filippo Gazzola |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2e5699a5ad024cb0aa0b0bb7112811a4 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2e5699a5ad024cb0aa0b0bb7112811a42025-02-03T01:31:10ZengWileyAbstract 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 |
| spellingShingle | Filippo Gazzola Positive solutions of critical quasilinear elliptic problems in general domains Abstract and Applied Analysis |
| title | 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_short | Positive solutions of critical quasilinear elliptic problems in
general domains |
| title_sort | positive solutions of critical quasilinear elliptic problems in general domains |
| url | http://dx.doi.org/10.1155/S108533759800044X |
| work_keys_str_mv | AT filippogazzola positivesolutionsofcriticalquasilinearellipticproblemsingeneraldomains |