文献详情
A Trudinger-Moser inequality for a conical metric in the unit ball
文献类型：期刊
通讯作者：Yang, YY (reprint author), Renmin Univ China, Sch Math, Beijing 100872, Peoples R China.
期刊名称：ARCHIV DER MATHEMATIK影响因子和分区
年：2019
卷：112
期：5
页码：531-545
ISSN：0003-889X
关键词：Trudinger-Moser inequality; Blow-up analysis; Conical metric
摘要：In this note, we prove a Trudinger-Moser inequality for a conical metric in the unit ball. Precisely, let B be the unit ball in RN(N2), p>1, g=|x|. We prove that for any 0 and N-1 is the area of the unit sphere in RN; moreover, extremal functions for such inequalities exist. The case p=N, -1<<0, and =0 was considered by Adimurthi-Sandeep (Nonlinear Differ Equ Appl 13:585-603, 2007), while the case p=N=2, 0, and =0, was studied by de Figueiredo (Proc Am Math Soc 144:3369-3380, 2016).
DOI：10.1007/s00013-018-1285-7
百度学术：A Trudinger-Moser inequality for a conical metric in the unit ball
语言：外文
基金：National Science Foundation of ChinaNational Natural Science Foundation of China [11471014, 11401575, 11761131002]
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