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Nehari manifold and bifurcation for a ψ ‐Hilfer fractional p ‐Laplacian
Author(s) -
Sousa J. Vanterler da C.
Publication year - 2021
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.7296
Subject(s) - mathematics , bifurcation , p laplacian , fractional laplacian , nonlinear system , mathematical analysis , laplace operator , manifold (fluid mechanics) , infinity , pure mathematics , physics , boundary value problem , mechanical engineering , quantum mechanics , engineering
In this paper, we discuss the bifurcation from infinity for nonlinear problem with a fractional p ‐Laplacian in ψ ‐fractional spaceℍ p α , β ; ψ , whose bifurcation is directly linked to the signal∫ 0 Tb ( x )ϕ 1q + 1 dx with 1 < q < p − 1.
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