Geometric Theory of Singular Phenomena in Partial Differential Equations

Featuring contributions from a group of outstanding mathematicians, this book covers the most recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry. Gathering together papers from a workshop held in Cortona, Italy, this volume will be of great interest to all those whose research interests lie in real and complex differential geometry, partial differential equations, and gauge theory.

Spis treści:
Preface
1. Problèmes de Monge-Ampère, courbes pseudo-holomorphes F. Labourie
2. Multiplier ideal sheaves and Futakis invariant A. M. Nadel
3. Gluing and moduli for non-compact geometric problems R. Mazzeo and D. Pollack
4. Metrics on Tiemann surfaces and the geometry of moduli spaces L. Habermann and J. Jost
5. The orbifold fundamental group of Persson-Noether-Horikawa surfaces F. Catanese and S. Manfredini
6. Introduction to differential geometry of twistor spaces P. de Bartolomeis and A. Nannicini
7. Energy minimizing maps from a domain of R3 into S2 M. Giaquinta, G. Modica and J. Soucek.