New weighted Trudinger-Moser inequality for functions not necessarily radially symmetric and applications
type: Item
instance of: scholarly article
title: New weighted Trudinger-Moser inequality for functions not necessarily radially symmetric and applications
author: Sami Aouaoui
published in: Journal of Mathematical Analysis and Applications
publication date: 2024-11-09T00:00:00Z
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7941019
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: Trudinger-Moser inequality
zbMATH Keywords: change of variables
zbMATH Keywords: \((N, p)\)-Laplacian
zbMATH Keywords: concentration-compactness
zbMATH Keywords: elliptic equation
MaRDI profile type: Publication
cites work: On a weighted Trudinger-Moser inequality in \(\mathbb{R}^N\)
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth in \(\mathbb R^2\)
cites work: Sharp constant and extremal function for weighted Trudinger-Moser type inequalities in \(\mathbb R^2\)
cites work: On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces
cites work: Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
cites work: A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space
cites work: New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications
cites work: Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations
cites work: Quasilinear logarithmic Choquard equations with exponential growth in \(\mathbb{R}^N\)
cites work: Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)
cites work: On a zero-mass \((N,q)\)-Laplacian equation in \(\mathbb{R}^N\) with exponential critical growth
cites work: Weighted Sobolev Spaces and Degenerate Elliptic Equations
cites work: Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality
cites work: Coupled elliptic systems in \(\mathbb{R}^N\) with \((p, N)\) Laplacian and critical exponential nonlinearities
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: Differentiation of integrals in \(\mathbb{R}^n\)
cites work: Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity
cites work: Best constants and existence of maximizers for weighted Trudinger-Moser inequalities
cites work: \((p,N)\) equations with critical exponential nonlinearities in \(\mathbb{R}^N\)
cites work: Q3515826
cites work: On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form
cites work: Q4282707
cites work: Sharp Trudinger-Moser inequalities with monomial weights
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
cites work: Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions
cites work: Sharp singular Trudinger-Moser inequalities under different norms
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: Q5603485
cites work: On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem.
cites work: The principle of symmetric criticality
cites work: Q3079717
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Planar Schrödinger-Choquard equations with potentials vanishing at infinity: the critical case
cites work: Weighted Sobolev embedding with unbounded and decaying radial potentials
cites work: A log-weighted Moser inequality on the plane
cites work: Trudinger-type inequalities in RN with radial increasing mass-weight
cites work: Positive solutions for semipositone \((p,N)\)-Laplacian problems with critical Trudinger-Moser nonlinearities
DOI: 10.1016/J.JMAA.2024.128877
description: scientific article; zbMATH DE number 7941019