The paper deals with existence of solutions for a class of nonlinear elliptic equations, involving a nonlocal Kirchhoff term and possibly Trudinger-Moser critical growth nonlinearities. The lack of compactness of the associated energy functional due to the unboundedness of the domain and to the Trudinger-Moser embedding has to be overcome via new techniques.

Nonlocal Kirchhoff problems with Trudinger-Moser critical nonlinearities

Patrizia Pucci
2019

Abstract

The paper deals with existence of solutions for a class of nonlinear elliptic equations, involving a nonlocal Kirchhoff term and possibly Trudinger-Moser critical growth nonlinearities. The lack of compactness of the associated energy functional due to the unboundedness of the domain and to the Trudinger-Moser embedding has to be overcome via new techniques.
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/11391/1451185
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 20
social impact