Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
wiley +1 more source
Positive solutions for fractional differential equation with a p-Laplacian operator
This paper studies the following Caputo fractional differential equation with p-Laplacian of higher-order multi-point: Dβ0+(p(Dα0+u(t)))+f(t,u(t))=0,0≤t≤1,l-1<β≤l,n-1<α≤n,(p(Dα0+u(0)))(i)=0,i=0,1,2,…,l-1,u(i)(0)=0,i=1,2,…,n-1,u(1)=∑ m-
Yunhong LI, Yan LI
doaj +1 more source
Recent results on (p,q)-Laplacian type equations [PDF]
Start ing from a new sum decomposit ion of W1,p(RN ) ∩W1,q(RN ) and using a variat ional approach, we invest igate the existence of mult ipleweak solut ions of a (p, q)–Laplacian equat ion on RN , for 1 < q < p < N , with a sign–changing potent ial ...
Bartolo, Rossella
core
A Geometric Characterization of Steady Laminar Flow
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
HIDDEN REGULARITY OF SOLUTION FOR A WAVE EQUATION WITH THE p-LAPLACIAN OPERATOR [PDF]
In this paper we study the hidden regularity of solutions for a wave equation with the p-laplacian operator... Indeed, we will prove that the normal derivative..
Eugenio Cabanillas Lapa +4 more
core +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator [PDF]
In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian ...
Ogras, Sezgin +2 more
core +3 more sources
Bifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition
We consider the problem $$\displaylines{ \Delta_{p}u =|u|^{p-2}u \quad\text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda|u|^{p-2}u + g(\lambda,x,u) \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain of $
Mabel Cuesta +2 more
doaj
On the Design of a Class of Analog Filters Whose Impulse Response Is a Mittag‐Leffler Function
Fractional‐order filters whose impulse response is a Mittag‐Leffler (M‐L) function in any of its known forms are summarized in this work. Simulation results using Cadence and experimental results using an FPAA validate the introduced concept. ABSTRACT Fractional‐order filters whose impulse response is a Mittag‐Leffler (M‐L) function in any of its known
Julia Nako +3 more
wiley +1 more source
Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-
Hua Su, Lishan Liu, Xinjun Wang
doaj +1 more source

