Singular Trudinger–Moser inequality with Lp norm and the existence of extremals

DOI10.1080/17476933.2021.1998013OpenAlexW3211704456MaRDI QIDQ5883936

Xin Miao, Xumin Wang

Publication date: 17 March 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1998013

zbMATH Keywords

extremal functionblow-up analysissingular Trudinger-Moser inequality\(L^p\) norm

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition
• Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
• Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space
• Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions
• A sharp form of Moser-Trudinger inequality in high dimension
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions
• Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
• A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space $\mathbb{R}^n$
• Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
• A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
• Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs
• A singular Moser-Trudinger embedding and its applications
• Improved Moser-Trudinger Inequality Involving L^p Norm in n Dimensions
• Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
• A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
• Best constants for Moser-Trudinger inequalities on the Heisenberg group
• Extremal functions for Moser’s inequality
• Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
• A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$

This page was built for publication: Singular Trudinger–Moser inequality with L^p norm and the existence of extremals