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A Trudinger—Moser Inequality Involving Lp-norm on a Closed Riemann Surface

Authors :
Meng Jie Zhang
Source :
Acta Mathematica Sinica, English Series. 37:538-550
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

In this paper, using the method of blow-up analysis, we obtained a Trudinger—Moser inequality involving Lp-norm on a closed Riemann surface and proved the existence of an extremal function for the corresponding Trudinger—Moser functional.

Subjects

Subjects :
Pure mathematics
Inequality
Applied Mathematics
General Mathematics
Riemann surface
media_common.quotation_subject
010102 general mathematics
Mathematics::Analysis of PDEs
Function (mathematics)
01 natural sciences
010101 applied mathematics
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
symbols
Mathematics::Differential Geometry
0101 mathematics
Lp space
Mathematics
media_common

Details

ISSN :
14397617 and 14398516
Volume :
37
Database :
OpenAIRE
Journal :
Acta Mathematica Sinica, English Series
Accession number :
edsair.doi...........4fa70378ea196e7ec755a1aab883ca28

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