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
2017
17
3
429
456
none
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].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338116
Citazioni
  • Scopus 77
  • ???jsp.display-item.citation.isi??? 77
Social impact