SOLUTIONS FOR A NONLOCAL ELLIPTIC EQUATION WITH CRITICAL SOBOLEV EXPONENT AND SINGULAR TERM
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| Publicado en: | Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III vol. 5, no. 2 (2025), p. 53-69 |
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Transilvania University of Brasov
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| 045 | 2 | |b d20250701 |b d20251231 | |
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| 100 | 1 | |a Benfriha, Habib |u Department of Mathematics, University of Oran 1 Ahmed Benbella. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Algeria | |
| 245 | 1 | |a SOLUTIONS FOR A NONLOCAL ELLIPTIC EQUATION WITH CRITICAL SOBOLEV EXPONENT AND SINGULAR TERM | |
| 260 | |b Transilvania University of Brasov |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a In this paper, we consider a class of nonhomogeneous fractional elliptic equations involving critical Hardy Sobolev exponents as follows where il C MN is a bounded domain, O < s < 1, A>Oisa parameter. We prove the existence of multiple solutions using the variational methods and the Nehari manifold decomposition. | |
| 653 | |a Elliptic functions | ||
| 653 | |a Eigenvalues | ||
| 653 | |a Inequality | ||
| 653 | |a Variational methods | ||
| 700 | 1 | |a Bennour, Abdelaziz |u Department of Mathematics, University of Oran 1 Ahmed Benbella. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Algeria | |
| 700 | 1 | |a Messirdi, Sofiane |u Department of Mathematics, University of Oran 1 Ahmed Benbella. Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Algeria | |
| 773 | 0 | |t Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III |g vol. 5, no. 2 (2025), p. 53-69 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3223964682/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3223964682/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3223964682/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |