文献类型：期刊文献

英文题名：The cone Moser-Trudinger inequalities and applications

作者：Fang, Fei[1];Ji, Chao[2]

机构：[1]Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

卷号：120

期号：3-4

起止页码：273

外文期刊名：ASYMPTOTIC ANALYSIS

收录：;EI(收录号：20204709519892);WOS:【SCI-EXPANDED(收录号:WOS:000587721500003)】；

基金：F. Fang is supported by BeijingMunicipal Natural Science Foundation (No. 1172005) and NSFC (No. 11801017). C. Ji is supported by Shanghai Natural Science Foundation (18ZR1409100).

语种：英文

外文关键词：Cone Moser-Trudinger inequalities; best exponent; asymptotic estimate; rearrangement; mountain pass theorem

摘要：In this paper, we first study the cone Moser-Trudinger inequalities and their best exponents on both bounded and unbounded domains R-+(2). Then, using the cone Moser-Trudinger inequalities, we study the asymptotic behavior of Cerami sequences and the existence of weak solutions to the nonlinear equation {-Delta(B)u = f(x, u), in x is an element of int(B), u = 0, on partial derivative B, where Delta(B) is an elliptic operator with conical degeneration on the boundary x(1) = 0, and the nonlinear term f has the subcritical exponential growth or the critical exponential growth.