Results 1 to 10 of about 4,030 (152)

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
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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

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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Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

Journal of Mathematical Analysis and Applications, 2001
It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
Eugenio Montefusco
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Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals [PDF]

SIAM Journal on Mathematical Analysis, 2001
23 ...
Gerhard Rein
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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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The concentration–compactness principle for Orlicz spaces and applications

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 Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions [PDF]

Calculus of Variations and Partial Differential Equations, 2018
Let $\mathbb{H}^{n}=\mathbb{C}^{n}\times\mathbb{R}$ be the $n$-dimensional Heisenberg group, $Q=2n+2$ be the homogeneous dimension of $\mathbb{H}^{n}$. We extend the well-known concentration-compactness principle on finite domains in the Euclidean spaces of \ P. L. Lions to the setting of the Heisenberg group $\mathbb{H}^{n}$.
Li, Jungang, Lu, Guozhen, Zhu, Maochun
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On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications

Fractional Calculus and Applied Analysis
AbstractWe obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real ...
Nabil Chems Eddine, Maria Alessandra Ragusa, Dušan D. Repovš   +2 more
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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
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