An improved Trudinger–Moser inequality and its extremal functions involvingLp-norm inR2

DOI10.3906/MAT-1907-24zbMath1464.46040OpenAlexW3041621253MaRDI QIDQ4971470

Xiao-Meng Li

Publication date: 12 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1907-24

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) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Compactness of extremals for singular Trudinger-Moser inequalities on the whole Euclidean space ⋮ Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $\mathbb{R}^n$

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