Geometric Analysis and PDEs

• Main Authors: Gursky, Matthew J. (Author), Lanconelli, Ermanno (Author), Malchiodi, Andrea (Editor), Tarantello, Gabriella (Author), Wang, Xu-Jia (Author), Yang, Paul C. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Chang, Sun-Yung Alice (Editor), Ambrosetti, Antonio (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
• Series: Lecture Notes in Mathematics, 1977
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Physics.; Analysis.; Partial Differential Equations.; Mathematical Methods in Physics.

This volume contains lecture notes on some topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics. The presentation of the material should be rather a...

Table of Contents:

• PDEs in Conformal Geometry
• Heat Kernels in Sub-Riemannian Settings
• Concentration of Solutions for Some Singularly Perturbed Neumann Problems
• On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices
• The k-Hessian Equation
• Minimal Surfaces in CR Geometry.