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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1451185
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