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Noncompact problems at the intersection of geometry, analysis, and topology : [electronic resource] 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 / Abbas Bahri, Sergiu Klainerman, Michael Vogelius, editors.

By: Brezis-Browder Conference, Noncompact Variational Problems and General Relativity (2001 : New Brunswick, N.J.)Contributor(s): Bahri, Abbas | Klainerman, Sergiu, 1950- | Vogelius, M. (Michael)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 350.Publication details: Providence, R.I. : American Mathematical Society, c2004Description: 1 online resource (ix, 252 p. : ill. (some col.))ISBN: 9780821879405 (online)Subject(s): Differential geometry -- Congresses | Functional analysis -- Congresses | Calculus of variations -- CongressesAdditional physical formats: Noncompact problems at the intersection of geometry, analysis, and topology :DDC classification: 516.3/6 LOC classification: QA614.9 | .B74 2001Online resources: Contents | Contents

Contents:

Conformal deformations of Riemannian metrics via "critical point theory at infinity": the conformally flat case with umbilic boundary / Mohameden Ould Ahmedou -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06334 Cubic quasilinear wave equation and bilinear estimates / Hajer Bahouri and Jean-Yves Chemin -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06335 Ginzburg-Landau functionals, phase transitions and vorticity / F. Bethuel and G. Orlandi -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06336 On the topology of conformally compact Einstein 4-manifolds / Sun-Yung A. Chang, Jie Qing and Paul Yang -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06337 On loop spaces of configuration spaces, and related spaces / F. R. Cohen -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06338 Global energy minimizers for free boundary problems and full regularity in three dimensions / Luis A. Caffarelli, David Jerison and Carlos E. Kenig -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06339 Stability and instability of the Reissner-Nordstr�om Cauchy horizon and the problem of uniqueness in general relativity / Mihalis Dafermos -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06340 Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint / Emmanuel Hebey -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06341 Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory / Fr�ed�eric H�elein -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06342 Revisit the topology of Sobolev maps / Fang Hua Lin -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06343 Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations / Yvan Martel and Frank Merle -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06344 Recent advances in the global theory of constant mean curvature surfaces / Rafe Mazzeo -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06345 On some properties of $S^1$-valued fractional Sobolev spaces / Petru Mironescu -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06346 Homoclinics for a semilinear elliptic PDE / Paul H. Rabinowitz -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06347 Vortices for Ginzburg-Landau equations: with magnetic field versus without / Sylvia Serfaty and Etienne Sandier -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06348 Some regularity problems of stationary harmonic maps / Gang Tian -- http://www.ams.org/conm/350/ http://dx.doi.org/10.1090/conm/350/06349

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Includes bibliographical references.

Conformal deformations of Riemannian metrics via "critical point theory at infinity": the conformally flat case with umbilic boundary / Mohameden Ould Ahmedou -- Cubic quasilinear wave equation and bilinear estimates / Hajer Bahouri and Jean-Yves Chemin -- Ginzburg-Landau functionals, phase transitions and vorticity / F. Bethuel and G. Orlandi -- On the topology of conformally compact Einstein 4-manifolds / Sun-Yung A. Chang, Jie Qing and Paul Yang -- On loop spaces of configuration spaces, and related spaces / F. R. Cohen -- Global energy minimizers for free boundary problems and full regularity in three dimensions / Luis A. Caffarelli, David Jerison and Carlos E. Kenig -- Stability and instability of the Reissner-Nordstr�om Cauchy horizon and the problem of uniqueness in general relativity / Mihalis Dafermos -- Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint / Emmanuel Hebey -- Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory / Fr�ed�eric H�elein -- Revisit the topology of Sobolev maps / Fang Hua Lin -- Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations / Yvan Martel and Frank Merle -- Recent advances in the global theory of constant mean curvature surfaces / Rafe Mazzeo -- On some properties of $S^1$-valued fractional Sobolev spaces / Petru Mironescu -- Homoclinics for a semilinear elliptic PDE / Paul H. Rabinowitz -- Vortices for Ginzburg-Landau equations: with magnetic field versus without / Sylvia Serfaty and Etienne Sandier -- Some regularity problems of stationary harmonic maps / Gang Tian --