Choquard equations with critical exponential nonlinearities in the zero mass case

被引:1
作者
Romani, Giulio [1 ]
机构
[1] Univ Insubria, Riemann Int Sch Math, Dipartimento Sci & Alta Tecnol, RISM, Via GB Vico 46, I-21100 Varese, Italy
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 08期
关键词
Choquard equation; zero mass; exponential growth; variational methods; limiting; Sobolev embeddings; LINEAR ELLIPTIC-EQUATIONS; EXISTENCE; GROWTH;
D O I
10.3934/math.20241046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate Choquard equations in RN driven by a weighted N-Laplace operator with polynomial kernel and zero mass. Since the setting is limiting for the Sobolev embedding, we work with nonlinearities which may grow up to the critical exponential. We establish the existence of a positive solution by variational methods, complementing the analysis in [32], where the case of a logarithmic kernel was considered.
引用
收藏
页码:21538 / 21556
页数:19
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