Results 11 to 20 of about 40,844 (184)
A p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration ...
Bo Chen, Junhui Xie
semanticscholar +1 more source
Isolated singularities of mappings with the inverse Poletsky inequality [PDF]
The manuscript is devoted to the study of mappingswith finite distortion, which have been actively studied recently.We consider mappings satisfying the inverse Poletsky inequality,which can have branch points.
E. Sevost’yanov
semanticscholar +1 more source
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation [PDF]
We extend the De Giorgi--Nash--Moser theory to a class of kinetic Fokker-Planck equations and deduce new results on the Landau-Coulomb equation. More precisely, we first study the H{o}lder regularity and establish a Harnack inequality for solutions to a ...
François Golse+3 more
semanticscholar +1 more source
Sufficient and Necessary Conditions for Holder’s Inequality in Weighted Orlicz Spaces
In this article, we present the sufficient and necessary conditions for H?̈?lder’s inequality in weighted Orlicz spaces and in their weak type. One of the keys to prove our results is to estimate the norms of characteristic function in R.
A. Masta, Ifronika, S. Fatimah
semanticscholar +1 more source
A Note on Generalized Holder’s Inequality in P-summable Sequence Spaces
In this paper, we present the sufficient and necessary conditions for generalized H?̈?lder’s inequality in weak p-summable sequence spaces which complete the Masta, et al. results in 2018.
A. Masta+4 more
semanticscholar +1 more source
H\"older's inequality: some recent and unexpected applications [PDF]
H\"{o}lder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and it is, without any doubt, one of the milestones in Mathematics.
N. Albuquerque+3 more
semanticscholar +1 more source
On the degree of approximation by Gauss Weierstrass integrals
We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).
Huzoor H. Khan, Govind Ram
doaj +1 more source
Liouville theorems and optimal regularity in elliptic equations [PDF]
The objective of this paper is to establish a connection between the problem of optimal regularity among solutions to elliptic PDEs with measurable coefficients and the Liouville property at infinity. Initially, we address the two-dimensional case by proving an Alt-Caffarelli-Friedman type monotonicity formula, enabling the proof of optimal regularity ...
arxiv +1 more source
Effects of chronic browsing on life‐history traits of an irruptive large herbivore population
This study aimed to determine the relationship between diet quality, body mass, and size (hind foot length), and female reproduction and sought to identify the mechanism by which high density under severe food limitations is maintained. Our results demonstrated that sika deer introduced to Nakanoshima Island have maintained high densities through high ...
Koichi Kaji+9 more
wiley +1 more source
Nonexistence of Lyapunov Exponents for Matrix Cocycles [PDF]
It follows from Oseledec Multiplicative Ergodic Theorem that the Lyapunov-irregular set of points for which the Oseledec averages of a given continuous cocycle diverge has zero measure with respect to any invariant probability measure. In strong contrast, for any dynamical system $f:X\rightarrow X$ with exponential specification property and a H$\ddot{\
arxiv +1 more source