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

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 R N , N ≥ 5 . The method used here is based on the Nehari manifold.

Saved in:
Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 56; no. 2; pp. 631 - 644
Main Authors Messirdi, Sofiane, Bennour, Abdelaziz, Matallah, Atika
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.06.2025
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
31B30
34J60
Critical Sobolev exponent
Biharmonic
35B33
Rellich inequality
Multi-singular potentials
Variational method
Online AccessGet full text
ISSN0019-5588
0975-7465
DOI10.1007/s13226-023-00507-x

Cover

More Information
Summary: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 R N , N ≥ 5 . The method used here is based on the Nehari manifold.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00507-x