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.
Cite this article
Andrea Cianchi, Maria J. Esteban, Bernd Kawohl, Optimal Constants in the Theory of Sobolev Spaces and PDEs. Oberwolfach Rep. 7 (2010), no. 1, pp. 325–371DOI 10.4171/OWR/2010/08