This paper deals with the existence of nontrivial nonnegative solutions of Schrödinger–Hardy systems driven by two possibly different fractional ℘-Laplacian operators, via various variational methods. The main features of the paper are the presence of the Hardy terms and the fact that the nonlinearities do not necessarily satisfy the Ambrosetti–Rabinowitz condition. Moreover, we consider systems including critical nonlinear terms, as treated very recently in literature, and present radial versions of the main theorems. Finally, we briefly show how to extend the previous results when the fractional Laplacian operators are replaced by more general elliptic nonlocal integro–differential operators.

Fiscella, A., Pucci, P., Saldi, S. (2017). Existence of entire solutions for Schrödinger-Hardy systems involving the fractional p-Laplacian. NONLINEAR ANALYSIS, 158, 109-131 [10.1016/j.na.2017.04.005].

Existence of entire solutions for Schrödinger-Hardy systems involving the fractional p-Laplacian

Fiscella A;
2017

Abstract

This paper deals with the existence of nontrivial nonnegative solutions of Schrödinger–Hardy systems driven by two possibly different fractional ℘-Laplacian operators, via various variational methods. The main features of the paper are the presence of the Hardy terms and the fact that the nonlinearities do not necessarily satisfy the Ambrosetti–Rabinowitz condition. Moreover, we consider systems including critical nonlinear terms, as treated very recently in literature, and present radial versions of the main theorems. Finally, we briefly show how to extend the previous results when the fractional Laplacian operators are replaced by more general elliptic nonlocal integro–differential operators.
Articolo in rivista - Articolo scientifico
Schr¨odinger–Hardy systems, existence of entire solutions, fractional p-Laplacian operator
English
109
131
23
Fiscella, A., Pucci, P., Saldi, S. (2017). Existence of entire solutions for Schrödinger-Hardy systems involving the fractional p-Laplacian. NONLINEAR ANALYSIS, 158, 109-131 [10.1016/j.na.2017.04.005].
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/10281/338156
Citazioni
  • Scopus 42
  • ???jsp.display-item.citation.isi??? 40
Social impact