Výsledky vyhledávání - "Giannetti, Flavia"

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On the monotonicity of non-local perimeter of convex bodies

Autor: Giannetti, Flavia, Stefani, Giorgio

Under mild assumptions on the kernel $K\ge0$, the non-local $K$-perimeter $P_K$ satisfies the monotonicity property on nested convex bodies, i.e., if $A\subset B\subset\mathbb{R}^n$ are two convex bodies, then $P_K(A)\le P_K(B)$. In this note, we pro

Externí odkaz: http://arxiv.org/abs/2309.11296

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On the convex components of a set in $\mathbb{R}^n$

Autor: Giannetti, Flavia, Stefani, Giorgio

Publikováno v: Forum Math. 35 (2023), no. 1, 187-199

We prove a lower bound on the number of the convex components of a compact set with non-empty interior in $\mathbb{R}^n$ for all $n\ge2$. Our result generalizes and improves the inequalities previously obtained in M. Carozza, F. Giannetti, F. Leonett

Externí odkaz: http://arxiv.org/abs/2106.08725

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Wolff potentials and local behaviour of solutions to measure data elliptic problems with Orlicz growth

Autor: Chlebicka, Iwona, Giannetti, Flavia, Zatorska-Goldstein, Anna

We establish pointwise estimates expressed in terms of a nonlinear potential of a generalized Wolff type for $A$-superharmonic functions with nonlinear operator $A:\Omega\times\mathbb{R}^n\to\mathbb{R}^n$ having measurable dependence on the spacial v

Externí odkaz: http://arxiv.org/abs/2006.02172

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Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or $L^1$ data

Autor: Chlebicka, Iwona, Giannetti, Flavia, Zatorska-Goldstein, Anna

We investigate solutions to nonlinear elliptic Dirichlet problems of the type \[ \left\{\begin{array}{cl} - {\rm div} A(x,u,\nabla u)= \mu &\qquad \mathrm{ in}\qquad \Omega, u=0 &\qquad \mathrm{ on}\qquad \partial\Omega, \end{array}\right. \] where $

Externí odkaz: http://arxiv.org/abs/1807.11275

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