G. Veronelli

activity

20092026

most citedMyers' type theorems and some related oscillation results

19 citations · 85 across the 35 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AP2021

Some functional properties on Cartan-Hadamard manifolds of very negative curvature

Ludovico Marini, Giona Veronelli

In this paper we consider Cartan-Hadamard manifolds (i.e. simply connected of non-positive sectional curvature) whose negative Ricci curvature grows polynomially at infinity. We sh…

math.AP2021

$L^{p}$ Positivity Preserving and a conjecture by M. Braverman, O. Milatovic and M. Shubin

Stefano Pigola, Giona Veronelli

In this paper we prove that a complete Riemannian manifold is $L^{p}$ -positivity preserving for any $p \in (1, \infty)$ . This means that any $L^{p}$ function which solves $(- Δ + 1) u \geq 0$ …

math.AP2021

Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces

Tomasz Adamowicz, Giona Veronelli

We investigate the logarithmic convexity of the length of the level curves for harmonic functions on surfaces and related isoperimetric type inequalities. The results deal with smo…

Some functional properties on Cartan-Hadamard manifolds of very negative curvature

Lp Positivity Preserving and a conjecture by M. Braverman, O. Milatovic and M. Shubin

Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces

$L^{p}$ Positivity Preserving and a conjecture by M. Braverman, O. Milatovic and M. Shubin