Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Ognibene, Roberto"'
Autor:
Ognibene, Roberto
We investigate the asymptotic behavior of the eigenvalues of the Laplacian with homogeneous Robin boundary conditions, when the (positive) Robin parameter is diverging. In this framework, since the convergence of the Robin eigenvalues to the Dirichle
Externí odkaz:
http://arxiv.org/abs/2407.19505
We exhibit existence of non-trivial solutions of some fractional linear Schr\"odinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of
Externí odkaz:
http://arxiv.org/abs/2407.04414
Autor:
Ognibene, Roberto, Velichkov, Bozhidar
We consider the problem of optimal partition of a domain with respect to the sum of the principal eigenvalues and we prove for the first time regularity results for the free interface up to fixed boundary. All our results are quantitative and, in par
Externí odkaz:
http://arxiv.org/abs/2404.05698
The aim of the present paper is to investigate the behavior of the spectrum of the Neumann Laplacian in domains with little holes excised from the interior. More precisely, we consider the eigenvalues of the Laplacian with homogeneous Neumann boundar
Externí odkaz:
http://arxiv.org/abs/2311.05999
We analyze the spectral properties of a particular class of unbounded open sets. These are made of a central bounded ``core'', with finitely many unbounded tubes attached to it. We adopt an elementary and purely variational point of view, studying th
Externí odkaz:
http://arxiv.org/abs/2306.16895
The behavior of simple eigenvalues of Aharonov-Bohm operators with many coalescing poles is discussed. In the case of half-integer circulation, a gauge transformation makes the problem equivalent to an eigenvalue problem for the Laplacian in a domain
Externí odkaz:
http://arxiv.org/abs/2306.05008
Autor:
Abatangelo, Laura, Ognibene, Roberto
We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable and we quantitatively investigate the rate of convergence of the pertur
Externí odkaz:
http://arxiv.org/abs/2301.11729
We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing average curl for admissible deformation maps. When suitable rotations are i
Externí odkaz:
http://arxiv.org/abs/2110.04333
The aim of this work is to show a non-sharp quantitative stability version of the fractional isocapacitary inequality. In particular, we provide a lower bound for the isocapacitary deficit in terms of the Fraenkel asymmetry. In addition, we provide t
Externí odkaz:
http://arxiv.org/abs/2107.08257
We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of an Almgren type
Externí odkaz:
http://arxiv.org/abs/2107.03862