A singular Trudinger–Moser inequality on compact Riemann surface with smooth boundary

Authors :: Pengxiu Yu
Source :: Complex Variables and Elliptic Equations. 68:333-350
Publication Year :: 2021
Publisher :: Informa UK Limited, 2021.
Abstract: Let (M,g) be a compact Riemann surface with smooth boundary. In this paper, using blow-up analysis, we prove the existence of an extremal function for a singular Trudinger–Moser inequality on (M,g).

Subjects :: Computational Mathematics
Numerical Analysis
Pure mathematics
Inequality
Applied Mathematics
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Mathematics::Analysis of PDEs
Boundary (topology)
Function (mathematics)
Compact Riemann surface
Analysis
Mathematics
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