Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Veronelli, Giona"'
The ABP method for proving isoperimetric inequalities has been first employed by Cabr\'e in $\mathbb{R}^n$, then developed by Brendle, notably in the context of non-compact Riemannian manifolds of non-negative Ricci curvature and positive asymptotic
Externí odkaz:
http://arxiv.org/abs/2402.16812
We obtain a vanishing result for solutions of the inequality $|\Delta u|\le q_1|u|+q_2|\nabla u|$ that decay to zero along a very general warped cylindrical end of a Riemannian manifold. The appropriate decay condition at infinity on $u$ is related t
Externí odkaz:
http://arxiv.org/abs/2401.12367
Autor:
Bisterzo, Andrea, Veronelli, Giona
The aim of this paper is to prove a qualitative property, namely the preservation of positivity, for Schr\"odinger-type operators acting on $L^p$ functions defined on (possibly incomplete) Riemannian manifolds. A key assumption is a control of the be
Externí odkaz:
http://arxiv.org/abs/2310.11118
Autor:
Adamowicz, Tomasz, Veronelli, Giona
We investigate the logarithmic and power-type convexity of the length of the level curves for $a$-harmonic functions on smooth surfaces and related isoperimetric inequalities. In particular, our analysis covers the $p$-harmonic and the minimal surfac
Externí odkaz:
http://arxiv.org/abs/2303.15843
Given a strongly local Dirichlet space and $\lambda\geq 0$, we introduce a new notion of $\lambda$--subharmonicity for $L^1_\loc$--functions, which we call \emph{local $\lambda$--shift defectivity}, and which turns out to be equivalent to distributio
Externí odkaz:
http://arxiv.org/abs/2302.09423
The paper focuses on the $L^{p}$-Positivity Preservation property ($L^{p}$-PP for short) on a Riemannian manifold $(M,g)$. It states that any $L^p$ function $u$ with $1
Externí odkaz:
http://arxiv.org/abs/2301.05159
In this paper we investigate the validity of first and second order $L^{p}$ estimates for the solutions of the Poisson equation depending on the geometry of the underlying manifold. We first present $L^{p}$ estimates of the gradient under the assumpt
Externí odkaz:
http://arxiv.org/abs/2207.08545
Publikováno v:
Journal of Functional Analysis, 286 no. 3 (2024), article number: 110240
In this paper we establish inclusions and noninclusions between various Hardy type spaces on noncompact Riemannian manifolds $M$ with Ricci curvature bounded from below, positive injectivity radius and spectral gap. Our first main result states that,
Externí odkaz:
http://arxiv.org/abs/2207.02532
In this paper we study $W^{1,p}$ global regularity estimates for solutions of $\Delta u = f$ on Riemannian manifolds. Under integral (lower) bounds on the Ricci tensor we prove the validity of $L^p$-gradient estimates of the form $|| \nabla u ||_{L^p
Externí odkaz:
http://arxiv.org/abs/2204.04002
Publikováno v:
In Nonlinear Analysis August 2024 245
