Compactness methods in Lieb's work
Julien Sabin (CMLS)
TL;DR
This paper reviews compactness techniques used by Lieb, especially those related to his 1983 work on optimizers for the Hardy-Littlewood-Sobolev inequality, highlighting their mathematical significance.
Contribution
It provides a comprehensive overview of Lieb's compactness methods, emphasizing their development and application in functional inequalities.
Findings
Detailed analysis of Lieb's compactness techniques
Insights into the optimization problems for Hardy-Littlewood-Sobolev inequality
Clarification of the mathematical impact of Lieb's methods
Abstract
We review some compactness methods appearing in the work of Lieb, with an emphasis on the techniques developed around his 1983 article on the optimizers for the Hardy-Littlewood-Sobolev inequality.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations