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- Title
PERTURBATION METHODS FOR NONLOCAL KIRCHHOFF-TYPE PROBLEMS.
- Authors
D'Onofrio, Luigi; Fiscella, Alessio; Bisci, Giovanni Molica
- Abstract
This paper deals with the existence of infinitely many solutions for a class of Dirichlet elliptic problems driven by a bi-nonlocal operator u 8594; M(ǁuǁ2)(-Δ)su, whereM models a Kirchhoff-type coefficient while (-Δ)s denotes the fractional Laplace operator. More precisely, by adapting to our bi-nonlocal framework the variational and topological tools introduced in [16], we establish the existence of infinitely many solutions. The main feature and difficulty of our problems is due to the possible degenerate nature of the Kirchhoff term M.
- Subjects
LAPLACIAN matrices; SOBOLEV spaces; KIRCHHOFF'S theory of diffraction; CALCULUS of variations; LAPLACE distribution
- Publication
Fractional Calculus & Applied Analysis, 2017, Vol 20, Issue 4, p829
- ISSN
1311-0454
- Publication type
Article
- DOI
10.1515/fca-2017-0044