Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Mazzoleni, Dario"'
This paper is devoted to a complete characterization of the free boundary of a particular solution to the following spectral $k$-partition problem with measure and inclusion constraints: \[ \inf \left\{\sum_{i=1}^k \lambda_1(\omega_i)\; : \; \omega_i
Externí odkaz:
http://arxiv.org/abs/2409.14916
We complete the study concerning the minimization of the positive principal eigenvalue associated with a weighted Neumann problem settled in a bounded regular domain $\Omega\subset \mathbb{R}^{N}$, $N\ge2$, for the weight varying in a suitable class
Externí odkaz:
http://arxiv.org/abs/2407.17931
In this paper we introduce a simple variational model describing the ground state of a superconducting charge qubit. The model gives rise to a shape optimization problem that aims at maximizing the number of qubit states at a given gating voltage. We
Externí odkaz:
http://arxiv.org/abs/2405.10569
We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second order term by a nonlinear function of the global density, with the intent
Externí odkaz:
http://arxiv.org/abs/2404.09834
In this paper, we prove estimates on the dimension of the singular part of the free boundary for solutions to shape optimization problems with measure constraints. The focus is on the heat conduction problem studied by Aguilera, Caffarelli, and Spruc
Externí odkaz:
http://arxiv.org/abs/2310.06591
Autor:
Buttazzo, Giuseppe, Maiale, Francesco Paolo, Mazzoleni, Dario, Tortone, Giorgio, Velichkov, Bozhidar
We prove {the first} regularity theorem for the free boundary of solutions to shape optimization problems involving integral functionals, for which the energy of a domain $\Omega$ is obtained as the integral of a cost function $j(u,x)$ depending on t
Externí odkaz:
http://arxiv.org/abs/2212.09118
Autor:
Mazzoleni, Dario, Savaré, Giuseppe
We study the $L^2$-gradient flow of functionals $\mathcal F$ depending on the eigenvalues of Schr\"odinger potentials $V$ for a wide class of differential operators associated to closed, symmetric, and coercive bilinear forms, including the case of a
Externí odkaz:
http://arxiv.org/abs/2203.07304
We study the minimization of the positive principal eigenvalue associated to a weighted Neumann problem settled in a bounded smooth domain $\Omega\subset \mathbb{R}^{N}$, within a suitable class of sign-changing weights. Denoting with $u$ the optimal
Externí odkaz:
http://arxiv.org/abs/2111.01491
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:
Mazzoleni, Dario, Ruffini, Berardo
We study the minimization of a spectral functional made as the sum of the first eigenvalue of the Dirichlet Laplacian and the relative strength of a Riesz-type interaction functional. We show that when the Riesz repulsion strength is below a critical
Externí odkaz:
http://arxiv.org/abs/2009.07699