Existence of multiple solutions for a nonhomogeneous p-Laplacian elliptic equation with critical Sobolev-Hardy exponent | Zendy

Atika Matallah | Zendy; Sara Litimein | Zendy; Sofiane Messirdi | Zendy

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Existence 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.

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