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Harnack type inequality on Riemannian manifolds of dimension 5

, 2013
We give some estimates of type sup * inf on Riemannian manifold of dimension 5.Comment: 12 pages.
Bahoura, Samy Skander, Prajapat, Jyotshana V. +1 more
core +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc +1 more source

Pointwise monotonicity of heat kernels. [PDF]

Rev Mat Complut, 2023
Alonso-Orán D, Chamizo F, Martínez ÁD, Mas A. +3 more
europepmc +1 more source

Maximum principles for Laplacian and fractional Laplacian with critical integrability

, 2019
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core

Hopf's lemma for viscosity solutions to a class of non-local equations with applications

, 2019
We consider a large family of non-local equations featuring Markov generators of L\'evy processes, and establish a non-local Hopf's lemma and a variety of maximum principles for viscosity solutions.
Biswas, Anup, Lőrinczi, József
core

An existence result for an interior electromagnetic casting problem