On nonhomogeneous biharmonic problem involving Rellich-type potentials and a critical Sobolev exponent

Sofiane Messirdi (), Abdelaziz Bennour () and Atika Matallah ()
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Sofiane Messirdi: University of Oran 1 Ahmed Ben Bella
Abdelaziz Bennour: University of Oran 1 Ahmed Ben Bella
Atika Matallah: High School of Management of Tlemcen

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 631-644

Abstract: 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 $${\mathbb {R}}^{N}$$ R N , $$N\ge 5$$ N ≥ 5 . The method used here is based on the Nehari manifold.

Keywords: Multi-singular potentials; Critical Sobolev exponent; Biharmonic; Rellich inequality; Variational method; 31B30; 35B33; 34J60 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00507-x

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