The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the existence of at least three nontrivial weak solutions. Our approach combines variational methods with properties of nonlocal fractional operators.
Multiplicity results for elliptic Kirchhoff-type problems
Molica Bisci G
2017
Abstract
The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the existence of at least three nontrivial weak solutions. Our approach combines variational methods with properties of nonlocal fractional operators.File in questo prodotto:
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