De Giorgi's method: in(s) and out(s)
2011 (English)Conference paper, Presentation (Refereed)
One of the main break-throughs in the 20th century mathematics was De Giorgi's proof of Hölder continuity for solutions of elliptic PDEs. His method has since then been used to prove interior regularity in various contexts.It is maybe less known, though not entirely surprising that De Giorgi's method also yields sufficient conditions for boundary regularity. In the talk, I will discuss a recent variation of De Giorgi's method which goes in the opposite direction, leading to a necessary condition for boundary regularity of PDEs and variational integrals.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:liu:diva-115861OAI: oai:DiVA.org:liu-115861DiVA: diva2:796881
ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, 10-14 Oktober 2011