The concentration-compactness principle in the calculus of variations. The limit case, Part II.

Título inglés	The concentration-compactness principle in the calculus of variations. The limit case, Part II.
Título español	El principio de concentración-compacidad en el cálculo de variaciones. El caso límite, Parte II.
Autor/es	Lions, Pierre-Louis
Organización	CEREMADE Univ. Paris IX-Dauphine, París, Francia
Revista	0213-2230
Publicación	1985, 1 (2): 45-121, 89 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	This paper is the second part of a work devoted to the study of variational problems (with constraints) in functional spaces defined on domains presenting some (local) form of invariance by a non-compact group of transformations like the dilations in RN. This contains for example the class of problems associated with the determination of extremal functions in inequalities like Sobolev inequalities, convolution or trace inequalities... We show how the concentration-compactness principle and method introduced in the so-called locally compact case are to be modified in order to solve these problems and we present applications to Functional Analysis, Mathematical Physics, Differential Geometry and Harmonic Analysis.
Clasificación UNESCO	120204
Palabras clave español	Cálculo de variaciones ; Principio de concentración-compacidad ; Teoría de Morse ; Dominios no acotados ; Masas de Dirac ; Grupo de invariancias ; Teoremas de trazas
Código MathReviews	MR0850686
Código Z-Math	Zbl 0704.49006
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