, 2018 The paper is dedicated to the theory of concentration-compactness principles for inhomogeneous fractional Sobolev spaces. This subject for the local case has been studied since the publication of the celebrated works due to P.-L.
Ferraz, Diego, do Ó, João Marcos
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Describing lack of compactness in Sobolev spaces
, 2010 Taken from unpublished lecture notes "Variational Methods in Quantum Mechanics" written for a course delivered at the University of Cergy-Pontoise in 2010.MasterWe review the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 ...
Lewin, Mathieu
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COMPACTNESS AND LIOUVILLE EQUATIONS
, 2020 This paper surveys some results regarding compactness properties of Liouville equa- tions, which were principally initiated in the seminal paper [6].
Malchiodi, Andrea
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Combined Chemical-Physical Modification of Coal Gangue Concrete: ITZ Densification and Enhanced Wetting-Drying Resistance. [PDF]
Materials (Basel)Wei F +7 more
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A concentration-compactness principle for perturbed isoperimetric problems with general assumptions
Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have components ``infinitely'' distant from each other. In this article and under mild assumptions we establish existence and density estimates of generalized minimizers of perturbed ...
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The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells. [PDF]
Adv Sci (Weinh)Morato L +9 more
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Data-Driven Inverse Design Enables a Dexterous Hand with Human-Comparable Dynamic Performance in Structured Tasks. [PDF]
Biomimetics (Basel)Jiang L +5 more
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The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form. [PDF]
Membranes (Basel)Melendy RF, Blue DH.
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The Concentration-Compactness Principle in the Calculus of Variations. (The limit case, Part I.)
, 1985 After the study made in the locally compact case for variational problems with some translation invariance, we investigate here the variational problems (with constraints) for example in RN where the invariance of RN by the group of dilatations creates ...
Lions, Pierre-Louis
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Gill Alterations in Adult Zebrafish Exposed to Avobenzone: Morphometric Profiling and Machine-Learning Analysis. [PDF]
Animals (Basel)Roveyshedzadeh S +4 more
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