The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms
In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/4829861 |
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| author | Mustapha Khiddi |
| author_facet | Mustapha Khiddi |
| author_sort | Mustapha Khiddi |
| collection | DOAJ |
| description | In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions. |
| format | Article |
| id | doaj-art-8465a3001c7446a689f0c217bc96ddd0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8465a3001c7446a689f0c217bc96ddd02025-02-03T01:30:51ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/48298614829861The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy TermsMustapha Khiddi0E.G.A.L, Dépt. Maths, Fac. Sciences, Université Ibn Tofail, BP 133, Kénitra, MoroccoIn this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.http://dx.doi.org/10.1155/2019/4829861 |
| spellingShingle | Mustapha Khiddi The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms Abstract and Applied Analysis |
| title | The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms |
| title_full | The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms |
| title_fullStr | The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms |
| title_full_unstemmed | The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms |
| title_short | The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms |
| title_sort | numbers of positive solutions by the lusternik schnirelmann category for a quasilinear elliptic system critical with hardy terms |
| url | http://dx.doi.org/10.1155/2019/4829861 |
| work_keys_str_mv | AT mustaphakhiddi thenumbersofpositivesolutionsbythelusternikschnirelmanncategoryforaquasilinearellipticsystemcriticalwithhardyterms AT mustaphakhiddi numbersofpositivesolutionsbythelusternikschnirelmanncategoryforaquasilinearellipticsystemcriticalwithhardyterms |