Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary

DOI10.3934/cpaa.2021038zbMath1478.46040OpenAlexW3136461022MaRDI QIDQ2032116

Mengjie Zhang

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021038

zbMATH Keywords

Riemann surfaceTrudinger-Moser inequalityextremal functionblow-up analysis

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Related Items

Existence of critical points for a mean field functional on a compact Riemann surface with boundary, Improved Trudinger–Moser inequality involving Lp-norm on a closed Riemann surface with isometric group actions, Critical points of a mean field type functional on a closed Riemann surface, Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary

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