EXTREMAL FUNCTIONS FOR A SHARP MOSER–TRUDINGER INEQUALITY

DOI10.1142/S0129167X06003503zbMath1101.46024MaRDI QIDQ5291371

Yun Yan Yang

Publication date: 10 May 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Trudinger-Moser inequalityextremal functionblow-up analysis

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

A sharp form of Moser-Trudinger inequality in high dimension ⋮ Trudinger–Moser inequality on the whole plane and extremal functions ⋮ Moser--Trudinger inequality for functions with mean value zero ⋮ Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation ⋮ Improved Moser-Trudinger inequality of Tintarev type in dimension \(n\) and the existence of its extremal functions ⋮ Trudinger-Moser inequalities on complete noncompact Riemannian manifolds ⋮ The weighted Moser-Trudinger inequalities of Adimurthi-Druet type in \(\mathbb{R}^N\) ⋮ Improved singular Moser-Trudinger inequalities and their extremal functions

Cites Work

• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
• Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
• Extremal functions for Moser’s inequality

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