On a planar Choquard equation involving exponential critical growth

被引：0

作者：

J. Carvalho

E. Medeiros

B. Ribeiro

机构：

[1] Universidade Federal da Paraíba,Departamento de Matemática

来源：

Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷

关键词：

Choquard equation; Hardy-Littlewood-Sobolev inequality; Weighted Sobolev embedding; Trudinger-Moser inequality; Riesz Potential; 35J66; 35J20; 35J60; 35B33;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we investigate a class of planar Choquard equation with Riesz potential of logarithm type and the potential V and the weights K, Q decaying to zero at infinity. We prove a weighted Sobolev embedding and a weighted Trudinger–Moser type inequality using a convenient decomposition. These results allow us to address, via variational methods, the existence of solutions to the Choquard equation when the nonlinearities possess critical exponential growth in the Trudinger–Moser sense.

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