F. Brock

activity

20112019

most citedA weighted isoperimetric inequality in a wedge

2 citations · 4 across the 4 of their papers we have counts for

collaborators

10 papers

math.AP2019★ 1 cited

Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball

Friedemann Brock, Peter Takac

We consider non-negative distributional solutions $u \in C^{1} (B_{R} ˉ)$ to the equation $-\mbox{div} [g(|\nabla u|)|\nabla u|^{-1} \nabla u ] = f(|x|,u)$ in a ball $B_{R}$ , with $…

math.AP2019

Some isoperimetric inequalities with respect to monomial weights

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We solve a class of isoperimetric problems on $R_{+}^{2} := {(x, y) \in R^{2} : y > 0}$ with respect to monomial weights. Let $α$ and $β$ be real numbers suc…

math.AP2019

A unified approach to symmetry for semilinear equations associated to the Laplacian in $R^{N}$

Andres I. Avila, Friedemann Brock

We show radial symmetry of positive solutions to the Hénon equation $- Δ u = ∣ x ∣^{- ℓ} u^{q}$ in $R^{N} ∖ {0}$ , where $ℓ \geq 0$ , $q > 0$ and satisfy further tec…

math.AP2019

Some weighted isoperimetric problems on $R_{+}^{N}$ with stable half balls have no solutions

Friedemann Brock, Francesco Chiacchio

We show the counter-intuitive fact that some weighted isoperimetric problems on the half-space $R_{+}^{N}$ , for which half-balls centered at the origin are stable, have no…

math.AP2018

The isoperimetric problem for a class of non-radial weights and applications

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We study a class of isoperimetric problems on $R_{+}^{N}$ where the densities of the weighted volume and weighted perimeter are given by two different non-radial function…

math.AP2018

On weighted isoperimetric inequalities with non-radial densities

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We consider a class of isoperimetric problems on $R_{+}^{N}$ where the volume and the area element carry two different weights of the type $∣ x ∣^{l} x_{N}^{α}$ . We solve them in…

Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball

Some isoperimetric inequalities with respect to monomial weights

A unified approach to symmetry for semilinear equations associated to the Laplacian in RN

Some weighted isoperimetric problems on R+N​ with stable half balls have no solutions

The isoperimetric problem for a class of non-radial weights and applications

On weighted isoperimetric inequalities with non-radial densities

A unified approach to symmetry for semilinear equations associated to the Laplacian in $R^{N}$

Some weighted isoperimetric problems on $R_{+}^{N}$ with stable half balls have no solutions