Nonlocal Kirchhoff problems with Trudinger-Moser critical nonlinearities

被引：26
作者：
Miyagaki, Olimpio H. [1 ]
Pucci, Patrizia [2 ]
机构：
[1] Univ Fed Juiz de Fora, Dept Math, BR-36036330 Juiz De Fora, MG, Brazil
[2] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2019年 / 26卷 / 04期
关键词：
Trudinger-Moser inequality; Fractional Laplacian; Kirchhoff equations; BREZIS-NIRENBERG RESULT; SCALAR FIELD-EQUATIONS; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; FRACTIONAL LAPLACIAN; MULTIPLE SOLUTIONS; GROUND-STATES; P-LAPLACIAN; EXISTENCE; INEQUALITY;
D O I：
10.1007/s00030-019-0574-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：26
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