Open AccessExistence of multiple solutions for a nonhomogeneous p-Laplacian elliptic equation with critical Sobolev-Hardy exponent
Author(s) -
Atika Matallah,
Sara Litimein,
Sofiane Messirdi
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.46206
Subject(s) - sobolev space , nehari manifold , mathematics , critical exponent , exponent , elliptic curve , mathematical analysis , p laplacian , manifold (fluid mechanics) , laplace operator , pure mathematics , nonlinear system , physics , scaling , geometry , mechanical engineering , linguistics , philosophy , quantum mechanics , engineering , boundary value problem
This paper is concerned with the existence of multiple nontrivial solutions for nonhomogeneous p-Laplacain elliptic problems involving the critical Hardy-Sobolev exponent. The method used here is based on the Nehari manifold.