On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents
We study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension N, where N>6s, provided 0<s<1.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/7197542 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562252732956672 |
|---|---|
| author | M. Khiddi R. Echarghaoui |
| author_facet | M. Khiddi R. Echarghaoui |
| author_sort | M. Khiddi |
| collection | DOAJ |
| description | We study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension N, where N>6s, provided 0<s<1. |
| format | Article |
| id | doaj-art-2b89e36de271456c96af675f2c730ee8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b89e36de271456c96af675f2c730ee82025-02-03T01:23:05ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/71975427197542On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical ExponentsM. Khiddi0R. Echarghaoui1E.G.A.L, Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, BP 133, Kénitra, MoroccoL.A.G.A, Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, BP 133, Kénitra, MoroccoWe study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension N, where N>6s, provided 0<s<1.http://dx.doi.org/10.1155/2016/7197542 |
| spellingShingle | M. Khiddi R. Echarghaoui On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents Abstract and Applied Analysis |
| title | On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents |
| title_full | On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents |
| title_fullStr | On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents |
| title_full_unstemmed | On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents |
| title_short | On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents |
| title_sort | on the existence of infinitely many solutions for nonlocal systems with critical exponents |
| url | http://dx.doi.org/10.1155/2016/7197542 |
| work_keys_str_mv | AT mkhiddi ontheexistenceofinfinitelymanysolutionsfornonlocalsystemswithcriticalexponents AT recharghaoui ontheexistenceofinfinitelymanysolutionsfornonlocalsystemswithcriticalexponents |