期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 72, 期 1, 页码 -出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-020-01447-w
关键词
Fractional Choquard-type equation; Critical exponential growth; Trudinger-Moser inequality
This paper studies the existence of solutions of equations with fractional Laplacian operators and Riesz potential, and proves the existence of solutions when f has critical exponential growth.
In this paper, we study the following class of fractional Choquard-type equations (-Delta)(1/2)u + u = (I-mu*F(u))f(u), x is an element of R, where (-Delta)(1/2) denotes the 1/2-Laplacian operator, I-mu is the Riesz potential with 0 < mu < 1, and F is the primitive function of f. We use variational methods and minimax estimates to study the existence of solutions when f has critical exponential growth in the sense of Trudinger-Moser inequality.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据