**Contemporary Mathematics**

Volume: 350;
2004;
252 pp;
Softcover

MSC: Primary 58; 53;

Print ISBN: 978-0-8218-3635-4

Product Code: CONM/350

List Price: $80.00

Individual Member Price: $64.00

**Electronic ISBN: 978-0-8218-7940-5
Product Code: CONM/350.E**

List Price: $80.00

Individual Member Price: $64.00

# Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Share this page *Edited by *
*Abbas Bahri; Sergiu Klainerman; Michael Vogelius*

This proceedings volume contains articles from the conference
held at Rutgers University in honor of Haim Brezis and Felix Browder,
two mathematicians who have had a profound impact on partial
differential equations, functional analysis, and geometry.

Mathematicians attending the conference had interests in noncompact
variational problems, pseudo-holomorphic curves, singular and smooth
solutions to problems admitting a conformal (or some group)
invariance, Sobolev spaces on manifolds, and configuration spaces. One
day of the event was devoted to Einstein equations and related
topics.

The material is suitable for graduate students and researchers
interested in problems in analysis and differential equations on
noncompact manifolds.

#### Readership

Graduate students and research mathematicians interested in problems in analysis and differential equations on noncompact manifolds.

# Table of Contents

## Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

- Contents vii8 free
- Preface ix10 free
- Conformal deformations of Riemannian metrics via "Critical point theory at infinity": The conformally flat case with umbilic boundary 112 free
- Cubic quasilinear wave equation and bilinear estimates 1930
- Ginzburg-Landau functionals, phase transitions and vorticity 3546
- On the topology of conformally compact Einstein 4-manifolds 4960
- On loop spaces of configuration spaces, and related spaces 6374
- Global energy minimizers for free boundary problems and full regularity in three dimensions 8394
- Stability and instability of the Reissner-Nordström Cauchy horizon and the problem of uniqueness in general relativity 99110
- Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint 115126
- Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory 127138
- Revisit the topology of Sobolev maps 149160
- Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations 157168
- Recent advances in the global theory of constant mean curvature surfaces 179190
- On some properties of S1-valued fractional Sobolev spaces 201212
- Homoclinics for a semilinear elliptic PDE 209220
- Vortices for Ginsburg-Landau equations: With magnetic field versus without 233244
- Some regularity problems of stationary harmonic maps 245256