Geodesic
Multiplicity theorems for biharmonic Kirchhoff-type elliptic problems
Minimax theory and its applications, Tome 8 (2023) no. 2
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We study the existence of multiple weak solutions for the biharmonic Kirchhoff-type elliptic problem.We establish necessary and sufficient conditions on fi, i = 1,...,k, under which there exists functions αi,γ ∈ C(Ω), i = 1,...,k, such that the above problem has at least two weak solutions. Our proof uses the variational approaches and relies on an existence result for crical points of functionals in Banach spaces recently obtained by Ricceri.
Mots-clés : Kirchhoff-type problems, p-Laplacian operator, p-biharmonic operator, weak solutions, critical points, contraction mapping theorem 
@article{MTA_2023_8_2_a5,
     author = {Lingju Kong},
     title = {Multiplicity theorems for biharmonic {Kirchhoff-type} elliptic problems},
     journal = {Minimax theory and its applications},
     year = {2023},
     volume = {8},
     number = {2},
     zbl = {1529.35184},
     url = {http://geodesic.mathdoc.fr/item/MTA_2023_8_2_a5/}
}
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%U http://geodesic.mathdoc.fr/item/MTA_2023_8_2_a5/
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Lingju Kong. Multiplicity theorems for biharmonic Kirchhoff-type elliptic problems. Minimax theory and its applications, Tome 8 (2023) no. 2. http://geodesic.mathdoc.fr/item/MTA_2023_8_2_a5/