Oberwolfach Reports
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Volume 7, Issue 1, 2010, pp. 325–371
DOI: 10.4171/OWR/2010/08
Optimal Constants in the Theory of Sobolev Spaces and PDEs
Organized by: Andrea Cianchi (1), Maria J. Esteban (2) and Bernd Kawohl (3)
(1) Dipartimento di Matematica e Applicazioni per l'Ar, Universita di Firenze, Piazza Ghiberti 27, FIRENZE, ITALY(2) CEREMADE, Université de Paris Dauphine, Place du Marechal de Lattre de Tassigny, 75775, PARIS CEDEX 16, FRANCE
(3) Institut für Mathematik, Universität Köln, Weyertal 86-90, 50931, KÖLN, GERMANY
Recent research activities on sharp constants and optimal inequalities have shown their impact on a deeper understanding of geometric, analytical and other phenomena in the context of partial differential equations and mathematical physics. These intrinsic questions have applications not only to a-priori estimates or spectral theory but also to numerics, economics, optimization, etc.
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