Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Parini, A."'
Autor:
DelaTorre, Azahara, Parini, Enea
We prove uniqueness of least-energy solutions to the fractional Lane-Emden equation, under homogeneous Dirichlet exterior conditions, when the underlying domain is a ball $B \subset \mathbb{R}^N$. The equation is characterized by a superlinear, subcr
Externí odkaz:
http://arxiv.org/abs/2310.02228
Autor:
Parini, Enea, Saracco, Giorgio
Publikováno v:
Canad. Math. Bull., 66(3):1030--1043, 2023
Given an open, bounded set $\Omega$ in $\mathbb{R}^N$, we consider the minimization of the anisotropic Cheeger constant $h_K(\Omega)$ with respect to the anisotropy $K$, under a volume constraint on the associated unit ball. In the planar case, under
Externí odkaz:
http://arxiv.org/abs/2206.07436
Reconfigurable intelligent surface (RIS) technology is a promising method to enhance wireless communications services and to realize the smart radio environment. In this paper, we investigate the application of RIS in D2D communications, and maximize
Externí odkaz:
http://arxiv.org/abs/2107.02155
We consider nonlinear second order elliptic problems of the type \[ -\Delta u=f(u) \text{ in } \Omega, \qquad u=0 \text{ on } \partial \Omega, \] where $\Omega$ is an open $C^{1,1}$-domain in $\mathbb{R}^N$, $N\geq 2$, under some general assumptions
Externí odkaz:
http://arxiv.org/abs/2003.13587
In this paper we prove a reverse Faber-Krahn inequality for the principal eigenvalue $\mu_1(\Omega)$ of the fully nonlinear eigenvalue problem \[ \label{eq} \left\{\begin{array}{r c l l} -\lambda_N(D^2 u) & = & \mu u & \text{in }\Omega, \\ u & = & 0
Externí odkaz:
http://arxiv.org/abs/2003.12107
Autor:
Buoso, Davide, Parini, Enea
We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal domains of the corresponding eigenfunctions. Moreover, in order to inves
Externí odkaz:
http://arxiv.org/abs/1910.11572
Autor:
Bobkov, Vladimir, Parini, Enea
Publikováno v:
Manuscripta Mathematica, 166 (2021), 503-522
We investigate the properties of the Cheeger sets of rotationally invariant, bounded domains $\Omega \subset \mathbb{R}^n$. For a rotationally invariant Cheeger set $C$, the free boundary $\partial C \cap \Omega$ consists of pieces of Delaunay surfac
Externí odkaz:
http://arxiv.org/abs/1907.10474
Autor:
Andrei, Natan, Bissi, Agnese, Buican, Matthew, Cardy, John, Dorey, Patrick, Drukker, Nadav, Erdmenger, Johanna, Friedan, Daniel, Fursaev, Dmitri, Konechny, Anatoly, Kristjansen, Charlotte, Makabe, Isao, Nakayama, Yu, O'Bannon, Andy, Parini, Robert, Robinson, Brandon, Ryu, Shinsei, Schmidt-Colinet, Cornelius, Schomerus, Volker, Schweigert, Christoph, Watts, Gerard
Proceedings of the workshop "Boundary and Defect Conformal Field Theory: Open Problems and Applications," Chicheley Hall, Buckinghamshire, UK, 7-8 Sept. 2017.
Comment: Conference proceedings of "Boundary and Defect Conformal Field Theory: Open P
Comment: Conference proceedings of "Boundary and Defect Conformal Field Theory: Open P
Externí odkaz:
http://arxiv.org/abs/1810.05697
Autor:
Parini, Enea, Salort, Ariel
We prove a general result about the behaviour of minimizing sequences for nonlocal shape functionals satisfying suitable structural assumptions. Typical examples include functions of the eigenvalues of the fractional Laplacian under homogeneous Diric
Externí odkaz:
http://arxiv.org/abs/1806.01165
Autor:
Bobkov, Vladimir, Parini, Enea
Publikováno v:
Journal of the London Mathematical Society, 97(3), (2018) 575-600
We develop the notion of higher Cheeger constants for a measurable set $\Omega \subset \mathbb{R}^N$. By the $k$-th Cheeger constant we mean the value \[h_k(\Omega) = \inf \max \{h_1(E_1), \dots, h_1(E_k)\},\] where the infimum is taken over all $k$-
Externí odkaz:
http://arxiv.org/abs/1706.07282