MOSER–TRUDINGER INEQUALITY ON CONFORMAL DISCS-Reference-Cited by-同舟云学术

MOSER–TRUDINGER INEQUALITY ON CONFORMAL DISCS

Published:2010-12 Issue:06 Volume:12 Page:1055-1068
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

MANCINI G.¹,SANDEEP K.²

Affiliation:

1. Dipartimento di Matematica, Università degli Studi "Roma Tre", Largo S. Leonardo Murialdo, 1 - 00146 Roma, Italy

2. TIFR Centre for Applicable Mathematics, Sharadanagar, Chikkabommasandra, Bangalore 560 065, India

Abstract

We prove that a sharp Moser–Trudinger inequality holds true on a conformal disc if and only if the metric is bounded from above by the Poincaré metric. We also derive necessary and sufficient conditions for the validity of a sharp Moser–Trudinger inequality on a simply connected domain in ℝ2.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199710004111

Reference23 articles.

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5. Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

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