Lack of compactness in the 2D critical Sobolev embedding, the general case

Hajer Bahouri, Mohamed Majdoub, Nader Masmoudi

Type: Article

Publication Date: 2013-05-28

Citations: 16

DOI: https://doi.org/10.1016/j.matpur.2013.05.003

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Locations

arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Journal de Mathématiques Pures et Appliquées - View

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Works That Cite This (16)

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+	Lack of compactness in the 2D critical Sobolev embedding, the general case	2013	Hajer Bahouri Mohamed Majdoub Nader Masmoudi
+ PDF Chat	Structure theorems for 2D linear and nonlinear Schrödinger equations	2015	Hajer Bahouri
+	On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding	2013	Hajer Bahouri
+ PDF Chat	Concentration Analysis and Cocompactness	2013	Cyril Tintarev
+ PDF Chat	Characterization of the lack of compactness of $H^2_{\rm rad}({\mathbb R}^4)$ into the Orlicz space	2013	I. Ben Ayed Mohamed Khalgui
+ PDF Chat	On the stability of global solutions to the three-dimensional Navier-Stokes equations	2018	Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher
+ PDF Chat	Description of the lack of compactness in Orlicz spaces and applications	2015	I. Ben Ayed Mohamed Khalgui
+	On the defect of compactness in Sobolev embeddings on Riemannian manifolds	2020	Cyril Tintarev
+ PDF Chat	Sur le comportement des solutions d’équations de Schrödinger non linéaires à croissance exponentielle	2015	Hajer Bahouri
+ PDF Chat	On the Role of Anisotropy in the Weak Stability of the Navier–Stokes System	2019	Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher

Works Cited by This (54)

Action	Title	Year	Authors
+ PDF Chat	Imbedding theorems of Sobolev type in potential theory.	1979	Kurt Hansson
+ PDF Chat	Sobolev imbedding theorems in borderline cases	1996	Nicola Fusco Pierre Lions Carlo Sbordone
+	Weak stability of the set of global solutions to the Navier-Stokes equations	2011	Hajer Bahouri Isabelle Gallagher
+ PDF Chat	Scattering for the critical 2-D NLS with exponential growth	2014	Hajer Bahouri Slim Ibrahim Galina Perelman
+	Description du défaut de compacité de l'injection de Sobolev sur le groupe de Heisenberg	2008	Jamel Benameur
+ PDF Chat	The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.	1984	Pierre‐Louis Lions
+	An inverse theorem for the bilinear $L^2$ Strichartz estimate for the wave equation	2009	Terence Tao
+ PDF Chat	Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents	1999	Shinji Adachi Kazunaga Tanaka
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+ PDF Chat	An elementary proof of sharp Sobolev embeddings	2001	Jan Malý Luboš Pick