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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
Autor principal: Benfriha, Habib
Otros Autores: Bennour, Abdelaziz, Messirdi, Sofiane
Publicado:
Transilvania University of Brasov
Materias:
Elliptic functions
Eigenvalues
Inequality
Variational methods
Acceso en línea:Citation/Abstract
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Resumen: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.
ISSN:2065-2151
DOI:10.31926/but.mif.2025.5.67.2.4
Fuente:Advanced Technologies & Aerospace Database