A sharp form of trace Moser-Trudinger inequality on compact Riemannian surface with boundary

DOI10.1007/s00209-006-0035-xzbMath1194.58023OpenAlexW2169484370WikidataQ115388826 ScholiaQ115388826MaRDI QIDQ970205

Yun Yan Yang

Publication date: 10 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0035-x

zbMATH Keywords

extremal functioncompact Riemannian surfacebowing up analysistrace Moser-Trudinger inequality

Mathematics Subject Classification ID

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

Related Items

A sharp form of Moser-Trudinger inequality in high dimension ⋮ A Trudinger-Moser inequality on a compact Riemannian surface involving Gaussian curvature ⋮ An improved singular Trudinger-Moser inequality in unit ball ⋮ A Hardy-Trudinger-Moser inequality involving \(L^p\) norm in the hyperbolic space ⋮ An improved singular Trudinger-Moser inequality in dimension two ⋮ A Trudinger-Moser inequality with mean value zero on a compact Riemann surface with boundary ⋮ Trudinger-Moser inequalities on complete noncompact Riemannian manifolds ⋮ Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary ⋮ Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface ⋮ The existence of ground state solution to elliptic equation with exponential growth on complete noncompact Riemannian manifold ⋮ Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary ⋮ An improved Hardy-Trudinger-Moser inequality

Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. I
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformal metrics with prescribed scalar curvature
• Extremals of determinants of Laplacians
• A sharp inequality of J. Moser for higher order derivatives
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• A Moser-Trudinger inequality on the boundary of a compact Riemann surface
• Uniqueness theorems through the method of moving spheres
• Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
• The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
• Extremal functions for Moser’s inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item