Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space
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Publication:1998668
DOI10.4171/rmi/1171zbMath1460.35115arXiv1606.07094OpenAlexW3005836611MaRDI QIDQ1998668
Quoc-Anh Ngô, Nguyen Van Hoang
Publication date: 7 March 2021
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.07094
hyperbolic spaceexact growth conditionLions lemmasharp Adams inequalitysharp Moser-Trudinger inequality
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Higher-order elliptic equations (35J30)
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Cites Work
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- Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition
- Sharp constants for weighted Moser-Trudinger inequalities on groups of Heisenberg type
- Concentration-compactness principle for an inequality by D.~ Adams
- Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions
- Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
- Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
- Adams inequality on the hyperbolic space
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Eigenfunctions of the nonlinear equation \(\Delta u+vf(x,u)=0\) in \(R^ 2\)
- 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
- A nonlinear inequality of Moser-Trudinger type
- Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on \(\mathbb{R}^n\)
- Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Adams' inequality and limiting Sobolev embeddings into Zygmund spaces
- Min-max level estimate for a singular quasilinear polyharmonic equation in \(\mathbb R^{2m}\)
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
- Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs
- Adams inequalities for Riesz subcritical potentials
- Trudinger-Moser inequality on the whole plane with the exact growth condition
- Concentration-compactness principle for the sharp Adams inequalities in bounded domains and whole space \(\mathbb{R}^n\)
- An improvement for the Trudinger-Moser inequality and applications
- Convolution operators and L(p, q) spaces
- 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
- MOSER–TRUDINGER INEQUALITY ON CONFORMAL DISCS
- Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝn
- 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
- On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group
- Sharp Adams-type inequalities in ℝⁿ
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
- Adams' Inequality with the Exact Growth Condition in ℝ4
- A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space