Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in \(\mathbb{R}^2\)
type: Item
instance of: scholarly article
title: Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in \(\mathbb{R}^2\)
zbMATH Open document ID: 1494.47124
author: Michinori Ishiwata
author: Hidemitsu Wadade
published in: Calculus of Variations and Partial Differential Equations
publication date: 2021-08-30T00:00:00Z
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 7388060
zbMATH Keywords: maximizing problem
zbMATH Keywords: Moser-Pohozaev-Trudinger-Yudovich type inequality
zbMATH Keywords: vanishing-concentration-compactness alternative
MaRDI profile type: Publication
full work available at URL: s00526-021-02076-5
OpenAlex ID: W3195398752
Wikidata QID: Q115386435
cites work: Q4505553
cites work: Q3581209
cites work: Q4039801
cites work: Nonlinear scalar field equations. I: Existence of a ground state
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: Q3756181
cites work: Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: Vanishing-concentration-compactness alternative for the Trudinger–Moser inequality in ℝN
cites work: Extremal functions for the Trudinger-Moser inequality in 2 dimensions
cites work: Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
cites work: Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints
cites work: On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form
cites work: On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in \(\mathbb R^N\)
cites work: Q5480316
cites work: Q4002299
cites work: Maximizers for the singular Trudinger-Moser inequalities in the subcritical cases
cites work: Sharp singular Adams inequalities in high order Sobolev spaces
cites work: Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
cites work: Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space
cites work: Extremal functions for Moser’s inequality
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Q5614914
cites work: A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
cites work: Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
cites work: Characterization of Trudinger's inequality
cites work: On critical cases of Sobolev's inequalities
cites work: Q4000065
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Existence of solitary waves in higher dimensions
cites work: Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
cites work: Q5547919
cites work: Q5520312
DOI: 10.1007/S00526-021-02076-5
description: scientific article; zbMATH DE number 7388060