Results 1 to 10 of about 3,702,433 (270)

Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application

Journal of Mathematics
We employ level-set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2.
Yubo Ni
doaj   +4 more sources

Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space

Advanced Nonlinear Studies, 2022
The concentration-compactness principle of Lions type in Euclidean space relies on the Pólya-Szegö inequality, which is not available in non-Euclidean settings.
Li Dongliang, Zhu Maochun
doaj   +5 more sources

An abstract version of the concentration compactness principle [PDF]

Revista Matemática Complutense, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schindler, I., Tintarev, K.
openaire   +5 more sources

Concentration-compactness results for systems in the Heisenberg group [PDF]

Opuscula Mathematica, 2020
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
doaj   +3 more sources

Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument

Advanced Nonlinear Studies, 2021
The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
doaj   +2 more sources

Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities

Open Mathematics, 2012
Abstract Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration ...
Černý Robert
doaj   +3 more sources

Concentration-compactness principle for variable exponent spaces and applications [PDF]

Electronic Journal of Differential Equations, 2010
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Julian Fernandez Bonder, Analia Silva
doaj   +3 more sources

An abstract version of the concentration compactness principle

, 2002
In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.
Schindler, Ian, Tintarev, Cyril
core   +6 more sources

Concentration-Compactness Principle of Singular Trudinger--Moser Inequalities in ℝn and n-Laplace Equations

Advanced Nonlinear Studies, 2018
In this paper, we use the rearrangement-free argument, in the spirit of the work by Li, Lu and Zhu [25], on the concentration-compactness principle on the Heisenberg group to establish a sharpened version of the singular Lions concentration-compactness ...
Zhang Caifeng, Chen Lu
doaj   +2 more sources

Young measures in a nonlocal phase transition problem [PDF]

, 1997
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Winter, Matthias, Matthias Winter, Ren, X, Xiaofeng Ren, Ren, Xiaofeng   +5 more
core   +8 more sources