Multiplicity Theorems for Biharmonic Kirchhoff-Type Elliptic Problems
Keywords:
Kirchhoff-type problems, p-Laplacian operator, p-biharmonic operator, weak solutions, critical points, contraction mapping theoremAbstract
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.
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