Contents
Preface
IX
Conformal deformations of Riemannian metrics via "Critical point theory at
infinity" : The conformally flat case with umbilic boundary
MOHAMEDEN 0ULD AHMEDOU
1
Cubic quasilinear wave equation and bilinear estimates
HAJER BAHOURI AND JEAN- YVES CHEMIN
19
Ginzburg-Landau functionals, phase transitions and vorticity
F. BETHUEL AND
G.
ORLANDI
35
On the topology of conformally compact Einstein 4-manifolds
SuN YuNG A. CHANG, JIE QING, AND PAUL YANG
49
On loop spaces of configuration spaces, and related spaces
F. R. COHEN
63
Global energy minimizers for free boundary problems and full regularity in
three dimensions
LUIS A. CAFFARELLI, DAVID JERISON, AND CARLOS E. KENIG
83
Stability and instability of the Reissner-Nordstrom Cauchy horizon and the
problem of uniqueness in general relativity
MIHALIS DAFERMOS
99
Nonlinear elliptic equations of critical Sobolev growth from a dynamical
viewpoint
EMMANUEL HEBEY
115
Hamiltonian formalisms for multidimensional calculus of variations and
perturbation theory
FREDERIC HELEIN
127
Revisit the topology of Sobolev maps
FANG HUA LIN
149
Review on blow up and asymptotic dynamics for critical and subcritical
gKdV equations
YVAN MARTEL AND FRANK MERLE
157
Recent advances in the global theory of constant mean curvature surfaces
RAFE MAZZEO
179
vii
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