Add to ORKGTaken from unpublished lecture notes "Variational Methods in Quantum Mechanics" written for a course delivered at the University of Cergy-Pontoise in 2010.MasterWe review the concentration-compactness method and the profile decomposition in Sobolev spaces, which allow to describe the possible lack of compactness of sequences in these spaces
We investigate the relationship between the compactness of embeddings of Sobolev spaces built upon r...
International audienceThis Note is devoted to the description of the lack of compactness of the Sobo...
We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles ...
AbstractThis paper is devoted to the description of the lack of compactness of Hrad1(R2) in the Orli...
openStudiamo il metodo di concentrazione-compattezza e la decomposizione di profili negli spazi di S...
We prove an abstract version of concentration compactness principle in Hilbert space and show its ap...
We obtain an improved Sobolev inequality in spaces involving Morrey norms. This refinement yields a ...
Many issues in Physics-Mathematics or Differential Geometry involve minimization problems, where min...
We prove that any bounded sequence in a Hilbert homogeneous Sobolev space has a subsequence which ca...
We prove that any bounded sequence in a Hilbert homogeneous Sobolev space has a subsequence which ca...
We obtain an improved Sobolev inequality in $H^s$ spaces involving Morrey norms. This refinement yie...
AbstractLet (un) be a bounded sequence inHs,p(Rd) (0<s<d/p). We show that (un) has a subsequence (u′...
To appear in Journal de Mathématiques Pures et AppliquéesThis paper is devoted to the description of...
AbstractThis paper is devoted to the description of the lack of compactness of Hrad1(R2) in the Orli...
We investigate some of the effects of the lack of compactness in the critical Folland-Stein-Sobolev ...
We investigate the relationship between the compactness of embeddings of Sobolev spaces built upon r...
International audienceThis Note is devoted to the description of the lack of compactness of the Sobo...
We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles ...
AbstractThis paper is devoted to the description of the lack of compactness of Hrad1(R2) in the Orli...
openStudiamo il metodo di concentrazione-compattezza e la decomposizione di profili negli spazi di S...
We prove an abstract version of concentration compactness principle in Hilbert space and show its ap...
We obtain an improved Sobolev inequality in spaces involving Morrey norms. This refinement yields a ...
Many issues in Physics-Mathematics or Differential Geometry involve minimization problems, where min...
We prove that any bounded sequence in a Hilbert homogeneous Sobolev space has a subsequence which ca...
We prove that any bounded sequence in a Hilbert homogeneous Sobolev space has a subsequence which ca...
We obtain an improved Sobolev inequality in $H^s$ spaces involving Morrey norms. This refinement yie...
AbstractLet (un) be a bounded sequence inHs,p(Rd) (0<s<d/p). We show that (un) has a subsequence (u′...
To appear in Journal de Mathématiques Pures et AppliquéesThis paper is devoted to the description of...
AbstractThis paper is devoted to the description of the lack of compactness of Hrad1(R2) in the Orli...
We investigate some of the effects of the lack of compactness in the critical Folland-Stein-Sobolev ...
We investigate the relationship between the compactness of embeddings of Sobolev spaces built upon r...
International audienceThis Note is devoted to the description of the lack of compactness of the Sobo...
We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles ...