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- Université Paris-SudFR20 papers
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- Laboratoire de Mathématiques Blaise PascalFR6 papers
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28 papers · 1 filter
The Dirichlet problem for constant mean curvature surfaces in Heisenberg space
Luis J. Alias, Marcos Dajczer, Harold Rosenberg
We study constant mean curvature graphs in the Riemannian 3-dimensional Heisenberg spaces . Each such is the total space of a Riemannian submersion…
On the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem
Valentin Poenaru
This is the announcement of an alternative approach to the 3-dimensional Poincaré Conjecture, different from Perelman's big and spectacular breakthrough. No claim concerning the ot…
Markov loops, determinants and Gaussian fields
Yves Le Jan
The purpose of this note is to explore some simple relations between loop measures, determinants, and Gaussian Markov fields.
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations
Serge Richard, Rafael Tiedra de Aldecoa
We carry out the spectral analysis of singular matrix valued perturbations of 3-dimensional Dirac operators with variable magnetic field of constant direction. Under suitable assum…
The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains
Luc Robbiano, Claude Zuily
In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials…
Nodal domains and spectral minimal partitions
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini
We consider two-dimensional Schrödinger operators in bounded domains. We analyze relations between nodal domains of eigenfunctions, spectral minimal partitions and spectral propert…