On nonhomogeneous biharmonic problem involving Rellich-type potentials and a critical Sobolev exponent
This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev critical nonlinearity in an open bounded domain of RN, N≥5. The method used here is based on the Nehari manifold.
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| Published in | Indian journal of pure and applied mathematics Vol. 56; no. 2; pp. 631 - 644 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer Nature B.V
01.06.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0019-5588 0975-7465 |
| DOI | 10.1007/s13226-023-00507-x |
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| Abstract | This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev critical nonlinearity in an open bounded domain of RN, N≥5. The method used here is based on the Nehari manifold. |
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| AbstractList | This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev critical nonlinearity in an open bounded domain of RN, N≥5. The method used here is based on the Nehari manifold. |
| Author | Messirdi, Sofiane Bennour, Abdelaziz Matallah, Atika |
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| Cites_doi | 10.1016/j.jmaa.2017.06.045 10.4171/rmi/12 10.11650/tjm.20.2016.5665 10.1007/s00526-014-0789-7 10.1017/S0308210500031012 |
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| References | Y Deng (507_CR5) 1999; 129 PL Lions (507_CR7) 1985; 1 F Rellich (507_CR8) 1954 507_CR3 D Kang (507_CR6) 2017; 455 J Zhang (507_CR9) 2019; 1 S Benmouloud (507_CR2) 2001; 8 L D’Ambrosio (507_CR1) 2015; 54 M Bouchekif (507_CR4) 2016; 20 |
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| Title | On nonhomogeneous biharmonic problem involving Rellich-type potentials and a critical Sobolev exponent |
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