Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ
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Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ
（Contemporary mathematics, v. 350）
American Mathematical Society, c2004
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Noncompact problems
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:516.3/B1482080002173
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Conformal deformations of Riemannian metrics via "critical point theory at infinity": The conformally flat case with umbilic boundary by M. O. Ahmedou Cubic quasilinear wave equation and bilinear estimates by H. Bahouri and J.-Y. Chemin Ginzburg-Landau functionals, phase transitions and vorticity by F. Bethuel and G. Orlandi On the topology of conformally compact Einstein 4-manifolds by S.-Y. A. Chang, J. Qing, and P. Yang On loop spaces of configuration spaces, and related spaces by F. R. Cohen Global energy minimizers for free boundary problems and full regularity in three dimensions by L. A. Caffarelli, D. Jerison, and C. E. Kenig Stability and instability of the Reissner-Nordstrom Cauchy horizon and the problem of uniqueness in general relativity by M. Dafermos Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint by E. Hebey Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory by F. Helein Revisit the topology of Sobolev maps by F. H. Lin Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations by Y. Martel and F. Merle Recent advances in the global theory of constant mean curvature surfaces by R. Mazzeo On some properties of $S^1$-valued fractional Sobolev spaces by P. Mironescu Homoclinics for a semilinear elliptic PDE by P. H. Rabinowitz Vortices for Ginzburg-Landau equations: With magnetic field versus without by S. Serfaty and E. Sandier Some regularity problems of stationary harmonic maps by G. Tian.
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