Contemporary Mathematics 2004; 252 pp; softcover Volume: 350 ISBN10: 0821836358 ISBN13: 9780821836354 List Price: US$76 Member Price: US$60.80 Order Code: CONM/350
 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, pseudoholomorphic 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  M. O. Ahmedou  Conformal deformations of Riemannian metrics via "critical point theory at infinity": The conformally flat case with umbilic boundary
 H. Bahouri and J.Y. Chemin  Cubic quasilinear wave equation and bilinear estimates
 F. Bethuel and G. Orlandi  GinzburgLandau functionals, phase transitions and vorticity
 S.Y. A. Chang, J. Qing, and P. Yang  On the topology of conformally compact Einstein 4manifolds
 F. R. Cohen  On loop spaces of configuration spaces, and related spaces
 L. A. Caffarelli, D. Jerison, and C. E. Kenig  Global energy minimizers for free boundary problems and full regularity in three dimensions
 M. Dafermos  Stability and instability of the ReissnerNordström Cauchy horizon and the problem of uniqueness in general relativity
 E. Hebey  Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint
 F. Hélein  Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory
 F. H. Lin  Revisit the topology of Sobolev maps
 Y. Martel and F. Merle  Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations
 R. Mazzeo  Recent advances in the global theory of constant mean curvature surfaces
 P. Mironescu  On some properties of \(S^1\)valued fractional Sobolev spaces
 P. H. Rabinowitz  Homoclinics for a semilinear elliptic PDE
 S. Serfaty and E. Sandier  Vortices for GinzburgLandau equations: With magnetic field versus without
 G. Tian  Some regularity problems of stationary harmonic maps
