Results 71 to 80 of about 235,737 (191)
Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, EarlyView.Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
wiley +1 more source
On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, EarlyView.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source
Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
Experimental Physiology, EarlyView.Abstract Sleep apnoea (SA) is ∼2 times more prevalent in men than women. However, this changes at menopause as the occurrence of SA increases and matches that of men. Menopause is a natural process, but it remains unclear why SA emerges only in a subpopulation of ageing women.
Danuzia Ambrozio‐Marques +4 more
wiley +1 more source
The Journal of Physiology, EarlyView.Abstract figure legend Time‐resolved estimation of cardiac rhythmicity parameters. A pipeline is shown for the estimation of the fluctuating cardiac parameters, based on the Poincaré plot. The Poincaré plot illustrates the successive changes in interbeat intervals (IBI).
Diego Candia‐Rivera +3 more
wiley +1 more source
Properties, mechanisms, and perspectives of ultrafast laser modifications in silicate glass volume
International Journal of Applied Glass Science, Volume 17, Issue 1, January 2026.Abstract Ultrafast laser irradiation of glass enables highly localized structural transformations within the material's bulk, unlocking diverse applications in photonics, data storage, and microfabrication. Here, we provide a concise yet comprehensive overview of the main types of femtosecond laser‐induced modifications in silica‐based glasses (Types I,
Nadezhda Shchedrina +3 more
wiley +1 more source
Manifolds in which the Poincaré conjecture is true [PDF]
, 1969 Jonathan L. Gross
openalex +1 more source
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source