[PDF][PDF] Solutions of Hartree-Fock equations for Coulomb systems

PL Lions - 1987 - projecteuclid.org
Mathematical Solutions of Hartree-Fock Equations for Coulomb Systems Page 1 Communications
in Mathematical Commun. Math. Phys. 109, 33-97 (1987) PhySΪCS © Springer-Verlag 1987 …

High frequency approximation of solutions to critical nonlinear wave equations

H Bahouri, P Gérard - American Journal of Mathematics, 1999 - muse.jhu.edu
This work is devoted to the description of bounded energy sequences of solutions to the
equation (1)□ u+| u| 4= 0 in [inline-graphic xmlns: xlink=" http://www. w3. org/1999/xlink" …

Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

CE Kenig, F Merle - 2008 - projecteuclid.org
We study the energy-critical focusing non-linear wave equation, with data in the energy
space, in dimensions 3, 4 and 5. We prove that for Cauchy data of energy smaller than the …

[PDF][PDF] The scalar-curvature problem on the standard three-dimensional sphere

A Bahri, JM Coron - Journal of Functional Analysis, 1991 - Citeseer
Let (S3, c) be the standard 3-sphere, ie, the 3-sphere equipped with the standard metric. Let
K be a C2 positive function on S3. The Kazdan-Warner problem [l] is the problem of finding …

[PDF][PDF] Nonlinear Schrödinger equations at critical regularity

R Killip, M Visan - Evolution equations, 2013 - Citeseer
2. Symmetries 2.1. Hamiltonian formulation 2.2. The symmetries 2.3. Group therapy 2.4.
Complete integrability 3. The local theory 3.1. Dispersive and Strichartz inequalities 3.2. The …

[图书][B] The analysis of harmonic maps and their heat flows

F Lin, C Wang - 2008 - books.google.com
This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry,
held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on …

[PDF][PDF] Description du défaut de compacité de l'injection de Sobolev

P Gérard - ESAIM: Control, Optimisation and Calculus of …, 1998 - numdam.org
On montre que toute suite born ee d'un espace de Sobolev hilbertien homog ene s' ecrit, a
une sous-suite pr es, comme la somme presque orthogonale d'une suite tendant vers z ero …

On the existence of a positive solution of semilinear elliptic equations in unbounded domains

A Bahri, PL Lions - Annales de l'Institut Henri Poincaré C, 1997 - ems.press
We prove here the existence of a positive solution, under general conditions, for semilinear
elliptic equations in unbounded domains with a variational structure. The solutions we build …

Partial differential equations in the 20th century

H Brezis, F Browder - Advances in mathematics, 1998 - Elsevier
Partial Differential Equations in the 20th Century - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

Convergence of the Yamabe flow for arbitrary initial energy

S Brendle - Journal of Differential Geometry, 2005 - projecteuclid.org
We consider the Yamabe flow $\frac {\partial g}{\partial t}=-(R_g-r_g)\, g $ where $ g $ is a
Riemannian metric on a compact manifold $ M, R_g $ denotes its scalar curvature, and …