Nonlocal Kirchhoff problems with Trudinger–Moser critical nonlinearities

被引：0
作者：
Olímpio H. Miyagaki
Patrizia Pucci
机构：
[1] Federal University of Juiz de Fora,Department of Mathematics
[2] Università degli Studi di Perugia,Dipartimento di Matematica e Informatica
来源：
Nonlinear Differential Equations and Applications NoDEA | 2019年 / 26卷
关键词：
Trudinger–Moser inequality; Fractional Laplacian; Kirchhoff equations; 35J60; 35B33; 35R11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Moser Trudinger embedding has to be overcome via new techniques.
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