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Softcover ISBN:  9780821836354 
Product Code:  CONM/350 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821879405 
Product Code:  CONM/350.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821836354 
eBook ISBN:  9780821879405 
Product Code:  CONM/350.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 350; 2004; 252 ppMSC: Primary 58; 53
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.
ReadershipGraduate students and research mathematicians interested in problems in analysis and differential equations on noncompact manifolds.

Table of Contents

Articles

Mohameden Ould Ahmedou — Conformal deformations of Riemannian metrics via “critical point theory at infinity”: the conformally flat case with umbilic boundary [ MR 2082387 ]

Hajer Bahouri and JeanYves Chemin — Cubic quasilinear wave equation and bilinear estimates [ MR 2082388 ]

F. Bethuel and G. Orlandi — GinzburgLandau functionals, phase transitions and vorticity [ MR 2082389 ]

SunYung A. Chang, Jie Qing and Paul Yang — On the topology of conformally compact Einstein 4manifolds [ MR 2082390 ]

F. R. Cohen — On loop spaces of configuration spaces, and related spaces [ MR 2082391 ]

Luis A. Caffarelli, David Jerison and Carlos E. Kenig — Global energy minimizers for free boundary problems and full regularity in three dimensions [ MR 2082392 ]

Mihalis Dafermos — Stability and instability of the ReissnerNordström Cauchy horizon and the problem of uniqueness in general relativity [ MR 2082393 ]

Emmanuel Hebey — Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint [ MR 2082394 ]

Frédéric Hélein — Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory [ MR 2082395 ]

Fang Hua Lin — Revisit the topology of Sobolev maps [ MR 2082396 ]

Yvan Martel and Frank Merle — Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations [ MR 2082397 ]

Rafe Mazzeo — Recent advances in the global theory of constant mean curvature surfaces [ MR 2082398 ]

Petru Mironescu — On some properties of $S^1$valued fractional Sobolev spaces [ MR 2082399 ]

Paul H. Rabinowitz — Homoclinics for a semilinear elliptic PDE [ MR 2082400 ]

Sylvia Serfaty and Etienne Sandier — Vortices for GinzburgLandau equations: with magnetic field versus without [ MR 2082401 ]

Gang Tian — Some regularity problems of stationary harmonic maps [ MR 2082402 ]


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

Articles

Mohameden Ould Ahmedou — Conformal deformations of Riemannian metrics via “critical point theory at infinity”: the conformally flat case with umbilic boundary [ MR 2082387 ]

Hajer Bahouri and JeanYves Chemin — Cubic quasilinear wave equation and bilinear estimates [ MR 2082388 ]

F. Bethuel and G. Orlandi — GinzburgLandau functionals, phase transitions and vorticity [ MR 2082389 ]

SunYung A. Chang, Jie Qing and Paul Yang — On the topology of conformally compact Einstein 4manifolds [ MR 2082390 ]

F. R. Cohen — On loop spaces of configuration spaces, and related spaces [ MR 2082391 ]

Luis A. Caffarelli, David Jerison and Carlos E. Kenig — Global energy minimizers for free boundary problems and full regularity in three dimensions [ MR 2082392 ]

Mihalis Dafermos — Stability and instability of the ReissnerNordström Cauchy horizon and the problem of uniqueness in general relativity [ MR 2082393 ]

Emmanuel Hebey — Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint [ MR 2082394 ]

Frédéric Hélein — Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory [ MR 2082395 ]

Fang Hua Lin — Revisit the topology of Sobolev maps [ MR 2082396 ]

Yvan Martel and Frank Merle — Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations [ MR 2082397 ]

Rafe Mazzeo — Recent advances in the global theory of constant mean curvature surfaces [ MR 2082398 ]

Petru Mironescu — On some properties of $S^1$valued fractional Sobolev spaces [ MR 2082399 ]

Paul H. Rabinowitz — Homoclinics for a semilinear elliptic PDE [ MR 2082400 ]

Sylvia Serfaty and Etienne Sandier — Vortices for GinzburgLandau equations: with magnetic field versus without [ MR 2082401 ]

Gang Tian — Some regularity problems of stationary harmonic maps [ MR 2082402 ]