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of 22
pro vyhledávání: '"Trey, Baptiste"'
This paper is dedicated to the regularity of the optimal sets for the second eigenvalue of the Dirichlet Laplacian. Precisely, we prove that if the set $\Omega$ minimizes the functional \[ \mathcal F_\Lambda(\Omega)=\lambda_2(\Omega)+\Lambda |\Omega|
Externí odkaz:
http://arxiv.org/abs/2010.00441
Autor:
Trey, Baptiste
In this paper we consider minimizers of the functional \begin{equation*} \min \big\{ \lambda_1(\Omega)+\cdots+\lambda_k(\Omega) + \Lambda|\Omega|, \ : \ \Omega \subset D \text{ open} \big\} \end{equation*} where $D\subset\mathbb{R}^d$ is a bounded op
Externí odkaz:
http://arxiv.org/abs/2001.06504
Autor:
Trey, Baptiste
This paper is dedicated to the spectral optimization problem \begin{equation*} \min \big\{ \lambda_1(\Omega)+\cdots+\lambda_k(\Omega) + \Lambda|\Omega| \ : \ \Omega \subset D \text{ quasi-open} \big\} \end{equation*} where $D\subset\mathbb{R}^d$ is a
Externí odkaz:
http://arxiv.org/abs/1909.12597
This paper is devoted to the study of shape optimization problems for the first eigenvalue of the elliptic operator with drift L = --$\Delta$+V (x)\cdot \nabla with Dirichlet boundary conditions, where V is a bounded vector field. In the first instan
Externí odkaz:
http://arxiv.org/abs/1810.07943
In this paper we prove a $C^{1,\alpha}$ regularity result in dimension two for almost-minimizers of the constrained one-phase Alt-Caffarelli and the two-phase Alt-Caffarelli-Friedman functionals for an energy with variable coefficients. As a conseque
Externí odkaz:
http://arxiv.org/abs/1810.06963
Autor:
Trey, Baptiste
Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire September-October 2021 38(5):1337-1371
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 39:529-573
This paper is dedicated to the regularity of the optimal sets for the second eigenvalue of the Dirichlet Laplacian. Precisely, we prove that if the set $\Omega$ minimizes the functional \[ \mathcal F_\Lambda(\Omega)=\lambda_2(\Omega)+\Lambda |\Omega|
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4446dc6c21fc208ed0887eed9008dfd6
https://doi.org/10.4171/aihpc/14
https://doi.org/10.4171/aihpc/14
Autor:
Trey, Baptiste1 (AUTHOR) baptiste.trey@univ-grenoble-alpes.fr
Publikováno v:
ESAIM: Control, Optimisation & Calculus of Variations. 2020, Vol. 26, p1-34. 34p.
Autor:
Trey, Baptiste
Publikováno v:
Algèbres d'opérateurs [math.OA]. Université Grenoble Alpes [2020-..], 2020. Français. ⟨NNT : 2020GRALM019⟩
In this thesis, we study the existence and the regularity of optimal shapes for some spectral optimization problems involving an elliptic operator with Dirichlet boundary condition.First of all, we consider the problem of minimizing the principal eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2592::22feff109023c9d05df23164f54a45fc
https://tel.archives-ouvertes.fr/tel-03141381/document
https://tel.archives-ouvertes.fr/tel-03141381/document
Autor:
Trey, Baptiste
Publikováno v:
Algèbres d'opérateurs [math.OA]. Université Grenoble Alpes [2020-..], 2020. Français. ⟨NNT : 2020GRALM019⟩
In this thesis, we study the existence and the regularity of optimal shapes for some spectral optimization problems involving an elliptic operator with Dirichlet boundary condition.First of all, we consider the problem of minimizing the principal eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::22feff109023c9d05df23164f54a45fc
https://theses.hal.science/tel-03141381
https://theses.hal.science/tel-03141381