Geodesic
Multiplicity of solutions for a singular Kirchhoff-type problem
Filomat, Tome 37 (2023) no. 27, p. 9103

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DOI

This paper deals with some Kirchhoff-type problems driven by a non-local integrodifferential operator of singular elliptic type with combined nonlinearities which generalizes the fractional Laplacian operator. Our main result is to give and prove the existence of weak solutions for such problems with homogeneous Dirichlet boundary conditions. The proof is based on a variational method, precisely, we use the Nehari manifold method and the analysis of the fibering maps.
DOI : 10.2298/FIL2327103K
Classification : 35A21, 35J15, 35A15
Keywords: Fractional p-Laplacian, Singular equations, Kirchhoff type problem, Integro-differential operator, Variational methods 
Bilel Khamessi; Abdeljabbar Ghanmi. Multiplicity of solutions for a singular Kirchhoff-type problem. Filomat, Tome 37 (2023) no. 27, p. 9103 . doi: 10.2298/FIL2327103K
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     title = {Multiplicity of solutions for a singular {Kirchhoff-type} problem},
     journal = {Filomat},
     pages = {9103 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327103K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327103K/}
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