Results 41 to 50 of about 418 (51)

Hopf's lemma, asymptotic radial symmetry, and monotonicity of solutions to the logarithmic Laplacian parabolic system

open access: yesAdvances in Nonlinear Analysis
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

open access: yes, 2015
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core  

Harnack type inequality on Riemannian manifolds of dimension 5

open access: yes, 2013
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]

open access: yesRev Mat Complut, 2023
Alonso-Orán D   +3 more
europepmc   +1 more source

Maximum principles for Laplacian and fractional Laplacian with critical integrability

open access: yes, 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

open access: yes, 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

open access: yesOpen Mathematics, 2006
Barkatou Mohammed   +2 more
doaj   +1 more source

Discrete maximum principle for interior penalty discontinuous Galerkin methods

open access: yesOpen Mathematics, 2013
Horváth Tamás, Mincsovics Miklós
doaj   +1 more source

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