This paper deals with the existence of infinitely many solutions for a class of Dirichlet elliptic problems driven by a bi-nonlocal operator of Kirchhoff-type coefficient. 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.
Perturbation methods for nonlocal Kirchhoff-type problems
Molica Bisci G
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 of Kirchhoff-type coefficient. 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.File in questo prodotto:
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