Results 71 to 80 of about 7,045,461 (221)
We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary.
M. E. Amendola, L. Rossi, A. Vitolo
doaj +1 more source
On Elliott's conjecture and applications
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source
Mechanistic Slumber vs. Statistical Insomnia: The early phase of Boltzmann's H-theorem (1868-1877) [PDF]
An intricate, long, and occasionally heated debate surrounds Boltzmann's outstanding works on the H-theorem (1872) and the combinatorial interpretation of the second law (1877).
Badino, Massimiliano, Badino, M.
core
Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics
Proof of a Liouville-type theorem for conformal maps in Grushin ...
MORBIDELLI, DANIELE
core +1 more source
Simple homotopy theory for Fukaya categories
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
A Liouville-type theorem for the homogeneous wave equation
In this paper, we characterize those bounded from below solutions of a homogeneous wave equation on R^2 which are constant.
Filippo Cammaroto, Antonia Chinnì
doaj
Abstract Discrete energy bands of ion fluxes, typically organized in velocity with equal separations, have been frequently observed in Jupiter's magnetosphere either in association with Galilean moons or in regions far from their influence. Here, we focus on the latter type and propose that these bands are manifestations of bounce‐phase structuring ...
Ya‐Ze Wu +5 more
wiley +1 more source
Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley +1 more source
A C1 Arnol'd-Liouville theorem
International audienceIn this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each ...
Xue, Jinxin, Arnaud, Marie-Claude
core +3 more sources
Existence of solutions for a mixed fractional boundary value problem
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives.
A Guezane Lakoud +2 more
doaj +1 more source

