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Corentin Léna's homepage
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Research Topics

In the field of shape optimization, I am interested in minimal partitions for eigenvalues. In collaboration with V. Bonnaillie-Noël, I have looked for minimal partitions of this type using asymptotic and numerical methods.

The topic of minimal partitions led me to the study of nodal sets for Laplacian eigenfunctions, in various domains and with various boundary conditions. In particular, I have worked on generalizations of Pleijel's nodal domain theorem.

I am also studying the Schrödinger operators associated with a singular magnetic potential of Aharonov-Bohm type. With L. Abatangelo, V. Felli and L. Hillairet, we are investigating the way the eigenvalues depend on the position of the singularities.

From 2010 to 2016, I have participated in the activities of the research groups GAOS and OPTIFORM, on shape optimization, funded by the ANR (Agence Nationale pour la Recherche).

Publications

Preprints

Selected talks