Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms
This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms. Using the effect of the coefficient of the critical nonlinearity, and a variational method, we establish the main result wh...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2012-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/169/abstr.html |
| _version_ | 1818236631646208000 |
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| author | Nemat Nyamoradi Mohamad Javidi |
| author_facet | Nemat Nyamoradi Mohamad Javidi |
| author_sort | Nemat Nyamoradi |
| collection | DOAJ |
| description | This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms. Using the effect of the coefficient of the critical nonlinearity, and a variational method, we establish the main result which is based on a compactness argument. |
| first_indexed | 2024-12-12T12:12:56Z |
| format | Article |
| id | doaj.art-a7972f8c929c4eebb892e62bc62bfa9a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T12:12:56Z |
| publishDate | 2012-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a7972f8c929c4eebb892e62bc62bfa9a2022-12-22T00:24:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-10-012012169,118Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy termsNemat NyamoradiMohamad JavidiThis article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms. Using the effect of the coefficient of the critical nonlinearity, and a variational method, we establish the main result which is based on a compactness argument.http://ejde.math.txstate.edu/Volumes/2012/169/abstr.htmlEkeland variational principlecritical Hardy-Sobolev exponentconcentration-compactness principle |
| spellingShingle | Nemat Nyamoradi Mohamad Javidi Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms Electronic Journal of Differential Equations Ekeland variational principle critical Hardy-Sobolev exponent concentration-compactness principle |
| title | Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms |
| title_full | Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms |
| title_fullStr | Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms |
| title_full_unstemmed | Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms |
| title_short | Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms |
| title_sort | existence of solutions to quasilinear elliptic systems with combined critical sobolev hardy terms |
| topic | Ekeland variational principle critical Hardy-Sobolev exponent concentration-compactness principle |
| url | http://ejde.math.txstate.edu/Volumes/2012/169/abstr.html |
| work_keys_str_mv | AT nematnyamoradi existenceofsolutionstoquasilinearellipticsystemswithcombinedcriticalsobolevhardyterms AT mohamadjavidi existenceofsolutionstoquasilinearellipticsystemswithcombinedcriticalsobolevhardyterms |