This paper deals with the existence of infinitely many solutions for a class of Dirichlet elliptic problems driven by a bi-nonlocal operator u → M(∥u∥2)(-Δ)su, where M 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.

D'Onofrio, L., Fiscella, A., Molica Bisci, G. (2017). Perturbation methods for nonlocal Kirchhoff-type problems. FRACTIONAL CALCULUS & APPLIED ANALYSIS, 20(4), 829-853 [10.1515/fca-2017-0044].

Perturbation methods for nonlocal Kirchhoff-type problems

Fiscella A;
2017

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 → M(∥u∥2)(-Δ)su, where M 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.
Articolo in rivista - Articolo scientifico
Kirchhoff-type problems, existence of solutions, fractional Sobolev spaces, variational methods
English
829
853
25
D'Onofrio, L., Fiscella, A., Molica Bisci, G. (2017). Perturbation methods for nonlocal Kirchhoff-type problems. FRACTIONAL CALCULUS & APPLIED ANALYSIS, 20(4), 829-853 [10.1515/fca-2017-0044].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338106
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