Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Savo, Alessandro"'
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
Autor:
Provenzano, Luigi, Savo, Alessandro
We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an annulus $\Sigma$ (a compact Riemannian surface with genus zero and two boundary components), the magnetic potential being the harmonic one-form having flux $\nu\in
Externí odkaz:
http://arxiv.org/abs/2310.08203
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
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:
Provenzano, Luigi, Savo, Alessandro
A bounded domain $\Omega$ in a Riemannian manifold $M$ is said to have the Pompeiu property if the only continuous function which integrates to zero on $\Omega$ and on all its congruent images is the zero function. In some respects, the Pompeiu prope
Externí odkaz:
http://arxiv.org/abs/2108.13706
Autor:
Savo, Alessandro
We study and classify smooth bounded domains in an analytic Riemannian manifold which are critical for the heat content at all times t>0. We do that by first computing the first variation of the heat content, and then showing that a domain is critica
Externí odkaz:
http://arxiv.org/abs/2010.05860
Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains
Autor:
Colbois, Bruno, Savo, Alessandro
We obtain upper bounds for the first eigenvalue of the magnetic Laplacian associated to a closed potential $1$-form (hence, with zero magnetic field) acting on complex functions of a planar domain $\Omega$, with magnetic Neumann boundary conditions.
Externí odkaz:
http://arxiv.org/abs/2007.04661
Autor:
Colbois, Bruno, Savo, Alessandro
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain $\Omega$, with magnetic Neumann boundary conditions. If $\Omega$ is simply connected then the spectrum reduces to the spectrum of the usual Neumann Laplaci
Externí odkaz:
http://arxiv.org/abs/2006.12762
Autor:
Savo, Alessandro
We consider the first eigenvalue $\lambda_1(\Omega,\sigma)$ of the Laplacian with Robin boundary conditions on a compact Riemannian manifold $\Omega$ with smooth boundary, $\sigma\in\bf R$ being the Robin boundary parameter. When $\sigma>0$ we give a
Externí odkaz:
http://arxiv.org/abs/1904.07525
We study the Morse index of self-shrinkers for the mean curvature flow and, more generally, of $f$-minimal hypersurfaces in a weighted Euclidean space endowed with a convex weight. When the hypersurface is compact, we show that the index is bounded f
Externí odkaz:
http://arxiv.org/abs/1803.08268