Improved singular Moser-Trudinger inequalities and their extremal functions
From MaRDI portal
Publication:778169
DOI10.1007/s11118-018-09759-3zbMath1456.46033OpenAlexW2910242769MaRDI QIDQ778169
Publication date: 2 July 2020
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-018-09759-3
classificationextremal functionsGreen functionblow-up analysisimprovementelliptic regularity theorysingular Moser-Trudinger inequalitysingular quasi-linear Liouville equation
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items
A singular Trudinger–Moser inequality on compact Riemann surface with smooth boundary, Compactness of extremals for singular Trudinger-Moser inequalities on the whole Euclidean space, The Hardy-Moser-Trudinger inequality via the transplantation of Green functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Trudinger-Moser inequality with remainder terms
- Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
- Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\)
- 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
- An improved singular Trudinger-Moser inequality in unit ball
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Conformal deformations of metric on \({\mathcal S}\) 2
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- A sharp inequality of J. Moser for higher order derivatives
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Fundamental solution for the \(Q\)-Laplacian and sharp Moser--Trudinger inequality in Carnot groups.
- Non-existence of extremals for the Adimurthi-Druet inequality
- A classification result for the quasi-linear Liouville equation
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs
- Improved Moser-Trudinger inequality of Tintarev type in dimension \(n\) and the existence of its extremal functions
- A sharp inequality of Trudinger-Moser type and extremal functions in \(H^{1, n}(\mathbb{R}^n)\)
- Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two
- Extremal functions for singular Moser-Trudinger embeddings
- Improved Moser-Trudinger inequality for functions with mean value zero in \(\mathbb{R}^n\) and its extremal functions
- 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 singular Moser-Trudinger embedding and its applications
- Trudinger–Moser inequality in the hyperbolic space ℍN
- Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
- Singular Moser–Trudinger inequality on simply connected domains
- A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
- Best constants for Moser-Trudinger inequalities on the Heisenberg group
- Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn
- On an inequality by N. Trudinger and J. Moser and related elliptic equations
- Extremal functions for Moser’s inequality
- EXTREMAL FUNCTIONS FOR A SHARP MOSER–TRUDINGER INEQUALITY
- Moser-Trudinger inequalities without boundary conditions and isoperimetric problems
- Extremal functions for the Moser–Trudinger inequality of Adimurthi–Druet type in W1,N(ℝN)
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
