Results 1 to 10 of about 33,828 (297)

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

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
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An abstract version of the concentration compactness principle [PDF]

Revista Matemática Complutense, 2002
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.We prove an abstract version of concentration compactness principle in Hilbert space and ...
Ian Schindler, Cyril Tintarev
core   +9 more sources

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

Electronic Journal of Differential Equations, 2009
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case.
Julián Fernández Bonder, A. S. Silva
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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
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On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces

Mathematics in Engineering, 2023
In this paper we establish some variants of the celebrated concentration–compactness principle of Lions – CC principle briefly – in the classical and fractional Folland–Stein spaces.
Patrizia Pucci , Letizia Temperini
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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
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Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument [PDF]

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
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Concentration-compactness principle for mountain pass problems [PDF]

, 2005
In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)
Kyril Tintarev
openalex   +3 more sources

The concentration–compactness principle for Orlicz spaces and applications [PDF]

Mathematische Nachrichten
AbstractIn this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.
Julián Fernández Bonder, Analía Silva
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Concentration-compactness principle for nonlocal scalar field equations with critical growth [PDF]

Journal of Mathematical Analysis and Applications, 2016
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space $\mathcal{D}^{s,2} (\mathbb{R}^N)$ for ...
João Marcos do Ó, Diego Ferraz
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