This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.In this note we describe the notion of a rectifiable scan and consider some applications [DH1], [DH2] to Plateau-type minimization problems. aquot;Scansaquot; were first introduced in the work [HR1] of Tristan Riviere and the second author to adequatelyanbsp;...
|Title||:||Variational Problems In Riemannian Geometry|
|Publisher||:||Springer Science & Business Media - 2004-03-26|