Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Antoine Henrot"'
Autor:
Antoine Henrot
„Shape optimization and spectral theory” is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization.It covers most of the issues which are important for people working in PDE and diffe
Publikováno v:
Annales de l'Institut Fourier. 72:1941-1992
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3cd4616c6ce1655f67b933670dae82c
https://doi.org/10.5802/aif.3484
https://doi.org/10.5802/aif.3484
Autor:
Michiaki Onodera, Antoine Henrot
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-021-01620-z⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-021-01620-z⟩
Bernoulli's free boundary problem is an overdetermined problem in which one seeks an annular domain such that the capacitary potential satisfies an extra boundary condition. There exist two different types of solutions called elliptic and hyperbolic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::127ab1bafb76034df31d82ffa5a67996
https://doi.org/10.1007/s00205-021-01620-z
https://doi.org/10.1007/s00205-021-01620-z
Autor:
Barbara Brandolini, Robert G. Smits, Thomas Beck, Simon Larson, Jeffrey J. Langford, Krzysztof Burdzy, Stefan Steinerberger, Antoine Henrot
Publikováno v:
The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-019-00300-5⟩
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-019-00300-5⟩
Let $\Omega \subset \mathbb{R}^n$ be a convex domain and let $f:\Omega \rightarrow \mathbb{R}$ be a positive, subharmonic function (i.e. $\Delta f \geq 0$). Then $$ \frac{1}{|\Omega|} \int_{\Omega}{f dx} \leq \frac{c_n}{ |\partial \Omega| } \int_{\pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5cb8bd8b3fe3a443b7d30658410780f
https://doi.org/10.1007/s12220-019-00300-5
https://doi.org/10.1007/s12220-019-00300-5
Autor:
Gisella Croce, Antoine Henrot
In this paper, we consider a problem in calculus of variations motivated by a quantitative isoperimetric inequality in the plane. More precisely, the aim of this article is the computation of the minimum of the variational problem $$\inf_{u\in\mathca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b976a9481dea34347b93f7fe0e5eacc3
http://arxiv.org/abs/2105.12979
http://arxiv.org/abs/2105.12979
Autor:
Antoine Henrot, Ilaria Lucardesi
Publikováno v:
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, In press
Journal de l'École polytechnique — Mathématiques, École polytechnique, In press
In this paper we address the following shape optimization problem: find the planar domain of least area, among the sets with prescribed constant width and inradius. In the literature, the problem is ascribed to Bonnesen, who proposed it in \cite{BF}.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16aa5ab16c97042bf610ab72fcde9405
https://hal.archives-ouvertes.fr/hal-02551415
https://hal.archives-ouvertes.fr/hal-02551415
Autor:
El Haj Laamri, Jean Rodolphe Roche, Alain Miranville, Thibaut Deheuvels, Didier Schmitt, Antoine Henrot
Publikováno v:
Discrete and Continuous Dynamical Systems-Series S
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2021, 14 (2), ⟨10.3934/dcdss.2020438⟩
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2021, 14 (2), ⟨10.3934/dcdss.2020438⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e71a571dd394c7987604b166f903282f
https://hal.archives-ouvertes.fr/hal-03261185
https://hal.archives-ouvertes.fr/hal-03261185
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 239, pp.981-1023. ⟨10.1007/s00205-020-01588-2⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2020, 239, pp.981-1023. ⟨10.1007/s00205-020-01588-2⟩
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodically perforated domain, converging to a family of eigenvalue problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dd4ac39948e84c64b67129e9ccb99d5
https://hal.archives-ouvertes.fr/hal-02969275/document
https://hal.archives-ouvertes.fr/hal-02969275/document
Publikováno v:
The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-020-00549-1⟩
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-020-00549-1⟩
This paper deals with a variation of the classical isoperimetric problem in dimension $N\ge 2$ for a two-phase piecewise constant density whose discontinuity interface is a given hyperplane. We introduce a weighted perimeter functional with three dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c7da46894e2fb9d675c4a1694e53d04
http://arxiv.org/abs/2003.02466
http://arxiv.org/abs/2003.02466
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
International audience; In this paper, we address the problem of maximizing the Steklov eigenvalues with a diameter constraint. We provide an estimate of the Steklov eigenvalues for a convex domain in terms of its diameter and volume and we show the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87ae23d9c106b28f067837bf1813d710