This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical nonlinearities. In particular, we cover the delicate degenerate case, that is, when the Kirchhoff function M is zero at zero. To overcome the difficulties due to the lack of compactness as well as the degeneracy of the models, we have to make use of different approaches.

Fiscella, A., Pucci, P. (2017). Kirchhoff Hardy fractional problems with lack of compactness. ADVANCED NONLINEAR STUDIES, 17(3), 429-456 [10.1515/ans-2017-6021].

Kirchhoff Hardy fractional problems with lack of compactness

Fiscella, A;
2017

Abstract

This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical nonlinearities. In particular, we cover the delicate degenerate case, that is, when the Kirchhoff function M is zero at zero. To overcome the difficulties due to the lack of compactness as well as the degeneracy of the models, we have to make use of different approaches.
Articolo in rivista - Articolo scientifico
Stationary Kirchhoff–Dirichlet problems, nonlocal p-Laplacian operators, Hardy coefficients, critical nonlinearities, variational methods
English
429
456
28
Fiscella, A., Pucci, P. (2017). Kirchhoff Hardy fractional problems with lack of compactness. ADVANCED NONLINEAR STUDIES, 17(3), 429-456 [10.1515/ans-2017-6021].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338116
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