activity
20212025
most citedNonradiality of second eigenfunctions of the fractional Laplacian in a ball

6 citations · 7 across the 5 of their papers we have counts for

collaborators

6 papers

eess.SY2025

Revisiting Functional Derivatives in Multi-object Tracking

Jan Krejčí, Ondřej Straka, Petr Girg +1

Probability generating functionals (PGFLs) are efficient and powerful tools for tracking independent objects in clutter. It was shown that PGFLs could be used for the elegant deriv…

math.AP2024

The p-Laplacian: phenomenological modelling of the flow in porous media and CFD simulations

Petr Girg, Lukáš Kotrla, Anežka Švandová

The aim of this paper is to discuss several aspects of connections between the p-Laplacian and mathematical models in hydrology. At first we present models of groundwater flow in p…

math.AP2024

Modeling of groundwater flow in porous medium layered over inclined impermeable bed

Petr Girg, Lukáš Kotrla

We propose a new mathematical model of groundwater flow in porous medium layered over inclined impermeable bed. In its full generality, this is a free-surface problem. To obtain an…

math.AP2023★ 1 cited

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

We show that the parabolic equation posed in a time-space cylinder and coupled with zero initial condition and zero…

math.AP2022

On the Strong Comparison Principle for Degenerate Elliptic Problems with Convection

Jiří Benedikt, Petr Girg, Lukáš Kotrla +1

The weak and strong comparison principles, respectively, are investigated for quasi-linear elliptic boundary value problems with the -Laplacian in one space dimension. We treat…

math.AP2021★ 6 cited

Nonradiality of second eigenfunctions of the fractional Laplacian in a ball

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

Using symmetrization techniques, we show that, for every , any second eigenfunction of the fractional Laplacian in the -dimensional unit ball with homogeneous Dirichle…