1 citations · 1 across the 4 of their papers we have counts for
5 papers
Accurate estimates for magnetic bottles in connection with superconductivity
S. Fournais, B. Helffer
Motivated by the theory of superconductivity and more precisely by the problem of the onset of superconductivity in dimension two, many papers devoted to the analysis in a semi-cla…
Nodal domains a la Courant
A. Ancona, B. Helffer, T. Hoffmann-Ostenhof
Let $H(\Om_0)=-Δ+V$ be a Schrödinger operator on a bounded domain $\Om_0\subset \mathbb R^d$ with Dirichlet boundary conditions. Suppose that the $\Om_\ell$ (…
Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity
Bernard Helffer, Didier Robert, Xue Ping Wang
We give a semiclassical analysis of a nonlinear eigenvalue problem arising from the study of the failure of analytic hypoellipticity and obtain a general family of hypoelliptic, bu…
Non-Linear Eigenvalues and Analytic Hypoellipticity
Sagun Chanillo, Bernard Helffer, Ari Laptev
Motivated by the problems of analytic hypoellipticity, we show that a special family of compact non self-adjoint operators has a non-zero eigenvalue. We recover old results by Chri…
On bifurcations from normal solutions for superconducting states
Bernard Helffer, Mathieu Dutour
Motivated by the paper by J. Berger and K. Rubinstein \cite{BeRu} and other recent studies \cite{GiPh}, \cite{LuPa1}, \cite{LuPa2}, we analyze the Ginzburg-Landau functional in an…