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- Title
Multiplicity results for elliptic Kirchhoff-type problems.
- Authors
Baraket, Sami; Molica Bisci, Giovanni
- 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.
- Subjects
LAPLACIAN matrices; ELLIPTIC functions; MULTIPLICITY (Mathematics); PERTURBATION theory; OPERATOR theory
- Publication
Advances in Nonlinear Analysis, 2017, Vol 6, Issue 1, p85
- ISSN
2191-9496
- Publication type
Article
- DOI
10.1515/anona-2015-0168