In this article, we extend the asymptotic method of moving planes to the following logarithmic Laplacian parabolic system: ∂z∂t(η,t)+(−△)ℒz(η,t)=f(t,v(η,t)),(η,t)∈B1(0)×[0,∞),∂v∂t(η,t)+(−△)ℒv(η,t)=g(t,z(η,t)),(η,t)∈B1(0)×[0,∞),z(η,t)=0,v(η,t)=0,(η,t)∈B1c(
Wang Guotao, Wang Jing
doaj +1 more source
A compactness result for a Gelfand-Liouville system with Lipschitz condition
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core
Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]
Akter S, Islam MS, Hossain T.
europepmc +1 more source
Harnack type inequality on Riemannian manifolds of dimension 5
We give some estimates of type sup * inf on Riemannian manifold of dimension 5.Comment: 12 pages.
Bahoura, Samy Skander +1 more
core +1 more source
Pointwise monotonicity of heat kernels. [PDF]
Alonso-Orán D +3 more
europepmc +1 more source
Maximum principles for Laplacian and fractional Laplacian with critical integrability
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
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
Barkatou Mohammed +2 more
doaj +1 more source
The discrete maximum principle for Galerkin solutions of elliptic problems
Vejchodský Tomáš
doaj +1 more source
Discrete maximum principle for interior penalty discontinuous Galerkin methods
Horváth Tamás, Mincsovics Miklós
doaj +1 more source

