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Existence of solutions of fractional p ‐Laplacian systems with different critical Sobolev‐Hardy exponents
Author(s) -
Nyamoradi Nemat,
Kirane Mokhtar
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6691
Subject(s) - mathematics , sobolev space , lemma (botany) , critical exponent , p laplacian , fractional laplacian , laplace operator , mathematical analysis , sobolev inequality , mountain pass , pure mathematics , scaling , geometry , ecology , poaceae , biology , boundary value problem
In this paper, we investigate a fractional p ‐Laplacian system with different critical Sobolev‐Hardy exponents. By variational methods and the Mountain‐Pass lemma, positive minimizers of the related best Sobolev constants and the existence of positive solutions of the system are found.