Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations
type: Item
instance of: scholarly article
title: Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations
zbMATH Open document ID: 1397.35117
author: Caifeng Zhang
author: Lu Chen
published in: Advanced Nonlinear Studies
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6921852
zbMATH Keywords: Trudinger-Moser inequality
zbMATH Keywords: concentration-compactness principe
zbMATH Keywords: \(n\)-Laplacian
zbMATH Keywords: ground state solutions
MaRDI profile type: Publication
full work available at URL: ans-2017-6041
OpenAlex ID: W2771817206
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: Q3581209
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
cites work: Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs
cites work: Best constants for Moser-Trudinger inequalities on the Heisenberg group
cites work: Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
cites work: An improvement for the Trudinger-Moser inequality and applications
cites work: Best constants and existence of maximizers for weighted Trudinger-Moser inequalities
cites work: Q4399897
cites work: BLOW-UP ANALYSIS FOR SOLUTIONS OF THE LAPLACIAN EQUATION WITH EXPONENTIAL NEUMANN BOUNDARY CONDITION IN DIMENSION TWO
cites work: Q5520312
cites work: Equivalence of sharp Trudinger-Moser-Adams inequalities
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
cites work: A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
cites work: Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities
cites work: On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group
cites work: Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs
cites work: Moser-Trudinger inequality on compact Riemannian manifolds of dimension two
cites work: Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Q5747034
cites work: Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces
cites work: Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
cites work: Q5603485
cites work: Q5516356
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Eigenfunctions of the nonlinear equation \(\Delta u+vf(x,u)=0\) in \(R^ 2\)
cites work: Q5547919
cites work: Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
DOI: 10.1515/ANS-2017-6041
description: scientific article; zbMATH DE number 6921852