Sharp affine Trudinger–Moser inequalities: A new argument
From MaRDI portal
Publication:5019185
DOI10.4153/S0008439520000806zbMath1490.46031OpenAlexW3093955282MaRDI QIDQ5019185
Nguyen Tuan Duy, Phi Le, Lam Hoang Nguyen
Publication date: 3 January 2022
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/s0008439520000806
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
- New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
- Sharp constants for weighted Moser-Trudinger inequalities on groups of Heisenberg type
- Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)
- Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Adams inequalities on measure spaces
- An asymmetric affine Pólya-Szegő principle
- The sharp affine \(L^2\) Sobolev trace inequality and variants
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions
- Centroid surfaces
- General \(L_{p}\) affine isoperimetric inequalities
- Affine Moser-Trudinger and Morrey-Sobolev inequalities
- 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
- Convex symmetrization and applications
- Fundamental solution for the \(Q\)-Laplacian and sharp Moser--Trudinger inequality in Carnot groups.
- The affine Sobolev inequality.
- \(L_ p\) affine isoperimetric inequalities.
- Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Adams' inequality and limiting Sobolev embeddings into Zygmund spaces
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
- Asymmetric Blaschke-Santaló functional inequalities
- Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities
- Remarks on the extremal functions for the Moser-Trudinger inequality
- Convolution operators and L(p, q) spaces
- Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
- A singular Moser-Trudinger embedding and its applications
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- The inequality of Moser and Trudinger and applications to conformal geometry
- Best constants for Moser-Trudinger inequalities on the Heisenberg group
- Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn
- Extremal functions for Moser’s inequality
- Sharp Adams-type inequalities in ℝⁿ
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Convex Bodies The Brunn-MinkowskiTheory
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
This page was built for publication: Sharp affine Trudinger–Moser inequalities: A new argument