Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Colbois, Bruno"'
Autor:
Brisson, Jade, Colbois, Bruno
In this note, we investigate the Steklov spectrum of the warped product $[0,L]\times_h \Sigma$ equipped with the metric $dt^2+h(t)^2g_\Sigma$, where $\Sigma$ is a compact surface. We find sharp upper bounds for the Steklov eigenvalues in terms of the
Externí odkaz:
http://arxiv.org/abs/2403.13620
We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature or on the convexity of the boundary. We obtain optimal upper bounds for
Externí odkaz:
http://arxiv.org/abs/2403.13426
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investigate the reverse Faber-Krahn inequality conjectured by S. Fournais and
Externí odkaz:
http://arxiv.org/abs/2403.11336
We consider the eigenvalues of the magnetic Laplacian on a bounded domain $\Omega$ of $\mathbb R^2$ with uniform magnetic field $\beta>0$ and magnetic Neumann boundary conditions. We find upper and lower bounds for the ground state energy $\lambda_1$
Externí odkaz:
http://arxiv.org/abs/2305.02686
The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments linking the Steklov eigenvalues and eigenfunctions of compact Riemann
Externí odkaz:
http://arxiv.org/abs/2212.12528
We discuss isoperimetric inequalities for the magnetic Laplacian on bounded domains of $\mathbb R^2$ endowed with an Aharonov-Bohm potential. When the flux of the potential around the pole is not an integer, the lowest eigenvalue for the Neumann and
Externí odkaz:
http://arxiv.org/abs/2201.11100
Autor:
Colbois, Bruno, Girouard, Alexandre
We prove two upper bounds for the Steklov eigenvalues of a compact Riemannian manifold with boundary. The first involves the volume of the manifold and of its boundary, as well as packing and volume growth constants of the boundary and its distortion
Externí odkaz:
http://arxiv.org/abs/2108.03101
Autor:
Colbois, Bruno, Gittins, Katie
We obtain upper bounds for the Steklov eigenvalues $\sigma_k(M)$ of a smooth, compact, connected, $n$-dimensional submanifold $M$ of Euclidean space with boundary $\Sigma$ that involve the intersection indices of $M$ and of $\Sigma$. One of our main
Externí odkaz:
http://arxiv.org/abs/2010.12248
Autor:
Colbois, Bruno, Provenzano, Luigi
In this note we present upper bounds for the variational eigenvalues of the $p$-Laplacian on smooth domains of complete $n$-dimensional Riemannian manifolds and Neumann boundary conditions, and on compact (boundaryless) Riemannian manifolds. In parti
Externí odkaz:
http://arxiv.org/abs/2010.06172
Autor:
Colbois, Bruno, Verma, Sheela
In this note, we find a sharp upper bound for the Steklov spectrum on a submanifold of revolution in Euclidean space with one boundary component.
Externí odkaz:
http://arxiv.org/abs/2009.07261