- journal articles metadata
European Mathematical Society Publishing House
2024-03-29 07:05:03
6
https://www.ems-ph.org/meta/jmeta-stream.php?jrn=RMI&vol=1&iss=2&update_since=2024-03-29
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
1
1985
2
A Littlewood-Paley Inequality for Arbitrary Intervals
José
Rubio de Francia
Universidad Autónoma de Madrid, MADRID, SPAIN
General
1
14
10.4171/RMI/7
http://www.ems-ph.org/doi/10.4171/RMI/7
Stable Planar Polynomial Vector Fields
J.
Sotomayor
University of Toronto, TORONTO, ONTARIO, CANADA
General
15
23
10.4171/RMI/8
http://www.ems-ph.org/doi/10.4171/RMI/8
Singular Integrals on Product $H^p$ Spaces
Charles
Fefferman
Princeton University, PRINCETON, UNITED STATES
General
25
31
10.4171/RMI/9
http://www.ems-ph.org/doi/10.4171/RMI/9
On the Boundary Values of Harmonic Functions
Paul
Garabedian
New York University, NEW YORK, UNITED STATES
General
33
37
10.4171/RMI/10
http://www.ems-ph.org/doi/10.4171/RMI/10
On Discrete Subgroups of Lie Groups and Elliptic Geometric Structures
Robert
Zimmer
The University of Chicago, CHICAGO, UNITED STATES
General
39
43
10.4171/RMI/11
http://www.ems-ph.org/doi/10.4171/RMI/11
The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, Part 2
Pierre-Louis
Lions
Univ de Paris IX Dauphine, PARIS CEDEX 05, FRANCE
Concentration-compactness principle, minimization problems, unbounded domains, dilation invariance, concentration function, nonlinear field equations, Dirac masses, Morse theory, Sobolev inequalities, convolution, weak $L^p$ spaces, trace theorems, Yamabe problem, scalar curvature, conformal invariance.
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 $\mathbb R^N$. This contains for example the class of problems associated with the determination of extremal functions in inequalities like Sovolev 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.
General
45
121
10.4171/RMI/12
http://www.ems-ph.org/doi/10.4171/RMI/12