Results 1 to 10 of about 663,640 (272)
Strong Comparison Principle for $p-$harmonic functions in Carnot-Caratheodory spaces [PDF]
arXiv, 2017 We extend Bony's propagation of support argument \cite{Bony} to $C^1$ solutions of the non-homogeneous sub-elliptic $p-$Laplacian associated to a system of smooth vector fields satisfying H\"ormander's finite rank condition. As a consequence we prove a strong maximum principle and strong comparison principle that generalize results of Tolksdorf \cite ...
Luca Capogna, Xiaodan Zhou
arxiv +3 more sources
A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities [PDF]
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj +2 more sources
A new fixed-time stability criterion for fractional-order systems
AIMS Mathematics, 2022 In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems ...
Yucai Ding, Hui Liu
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Comparison principles and applications to mathematical modelling of vegetal meta-communities
Mathematics in Engineering, 2022 This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).
Gauthier Delvoye +2 more
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Propagation dynamics in an SIRS model with general incidence functions
Mathematical Biosciences and Engineering, 2023 This paper studies the initial value problems and traveling wave solutions in an SIRS model with general incidence functions. Linearizing the infected equation at the disease free steady state, we can define a threshold if the corresponding basic ...
Wenhao Chen , Guo Lin, Shuxia Pan
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Improvements on overdetermined problems associated to the p-Laplacian
Mathematics in Engineering, 2022 This work presents some improvements on related papers that investigate certain overdetermined problems associated to elliptic quasilinear operators. Our model operator is the p-Laplacian.
Antonio Greco , Francesco Pisanu
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IEEE Access, 2021 This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng +3 more
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Blow-up and global existence for the inhomogeneous porous medium equation with reaction [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 We study finite time blow-up and global existence of solutions to the Cauchy problem for the porous medium equation with a variable density ρ(x) and a power-like reaction term. We firstly consider the case that ρ(x) decays at infinity like the critical
Giulia Meglioli, Fabio Punzo
doaj
Motion by crystalline-like mean curvature: A survey
Bulletin of Mathematical Sciences, 2022 We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
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Fractal and Fractional, 2022 We deal with backward stochastic differential equations driven by a pure jump Markov process and an independent Brownian motion (BSDEJs for short). We start by proving the existence and uniqueness of the solutions for this type of equation and present a ...
Khaoula Abdelhadi +3 more
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