Tootfinder

Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator
Somnath Gandal, Annunziata Loiudice, Jagmohan Tyagi
https://arxiv.org/abs/2509.06138 https…

Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator
We study the following class of quasilinear degenerate elliptic equations with critical nonlinearity \begin{align*} \begin{cases}-Δ_{γ,p} u= λ|u|^{q-2}u+|u|^{p_γ^{*}-2}u & \text{ in } Ω\subset \mathbb{R}^N, \\ u=0 & \text{ on } \partial Ω, \end{cases} \end{align*} where $Δ_{γ, p}v:=\sum_{i=1}^N X_i(|\nabla_γu|^{p-2}X_i u)$ is the Grushin $p$-Laplace operator, $z:=(x, y) \in \mathbb{R}^N$, $N=m+n,$ $m,n \geq 1,$, where $\nabla_γ=(X_1, \ldots, X_N)$ is th…

Analysis: in 2025, only 17% of North America's top 100 highest-grossing films were directed by non-white filmmakers, down from 27% in 2021 and 24% in 2023 (Richard Rushfield/The Ankler)
https://theankler.com/p/hollywoods-backslide-into-white-male

Hollywood’s Backslide Into White Male Directors Becomes Undeniable
How to chase away our future, one complacent decision at a time

Navigating the herd.
(There were 170 highland cattle, sometimes just a few inches away... quite a few blocking the path with their calves and feeling agitated so we had to navigate/bypass through the talus fields higher up, giving these beauties more space...)
#FootpathFriday #LandscapePhotography

Die Wölfe haben heute Nacht jetzt schon in unserer Küche ein Fohlen gerissen. Und dann haben sie das noch nicht mal aufgegessen. Sie haben es bestimmt im Blutrausch getötet.
Wo sind die Jäger nur wenn man sie braucht?

Epitaxially-stabilized growth of w\"ustite FeO on 4H-SiC
Faisal Kimbugwe, Marzieh Baan, Alexandra Fonseca Montenegro, Roberto C Myers, Tyler J Grassman
https://arxiv.org/abs/2510.02531

Epitaxially-stabilized growth of wüstite FeO on 4H-SiC
Iron(II) monoxide (FeO) is thermodynamically stable in the halite (wüstite) structure only at elevated temperatures in a typically non-stoichiometric, Fe-deficient, Fe$_{1-z}$O form that tends to phase separate and/or transform into metallic $α$-Fe and magnetite Fe$_3$O$_4$ at ambient conditions. Here we report on the successful growth of up to 180 nm thick $(111)$-oriented FeO heteroepitaxial films on slightly lattice-matched 4H-SiC$(0001)$ using molecular beam epitaxy (MBE). The films have …

On the inextensibility assumption in the stability of elastic rings: overhaul of a traditional paradigm
Federico Guarracino, Ida Mascolo
https://arxiv.org/abs/2509.02738 https:/…

On the inextensibility assumption in the stability of elastic rings: overhaul of a traditional paradigm
One of the oldest and most common structural engineering issues is the elastic buckling of circular rings under external pressure, which has a fundamental importance in a number of applications in general mechanics, engineering and bio-physics, just to name a few. Levy is considered to have provided the first significant solution to this problem in 1884, and most stability text-books make reference to this original solution, which is based on the Euler-Bernoulli beam model. Following this incip…

Influence of Platinum Thin Films on the Photophysical and Quantum Properties of Near-Surface NV Centers
Joachim P. Leibold (Department of Chemistry, School of Natural Sciences, Technical University of Munich, Garching, Germany), Lina M. Todenhagen (Walter Schottky Institute, Technical University of Munich, Garching, Germany), Matthias Althammer (Walther-Mei{\ss}ner-Institute, Bavarian Academy of Sciences and Humanities, Garching, Germany), Nikhita Khera (Department of Physics and Resea…

Influence of Platinum Thin Films on the Photophysical and Quantum Properties of Near-Surface NV Centers
Nitrogen-vacancy (NV) centers in diamond are optically addressable spin defects with great potential for nanoscale quantum sensing. A key application of NV centers is the detection of external spins at the diamond surface. Among metals, platinum thin films - widely used in spintronics, catalysis and electrochemistry - provide a particularly interesting system for such studies. However, the interaction between NV centers and metals is known to affect their quantum sensing capabilities. In this w…

Made this with Sora yesterday.
I think it has the nice, comforting feeling of a Soviet (or British?) version of the XB-36H (the bomber with the unshielded nuclear reactor) in Charlie Stross's A Colder War. You get the sense that even with a telephoto lens, the camera operator has absorbed enough sieverts that a gruesome death of radiation poisoning in the very near future is going to take place. #airart

TESS Subgiant and Lower Red Giant Asteroseismology in the Continuous Viewing Zones
Sophia Grusnis, Jamie Tayar, Diego Godoy-Rivera
https://arxiv.org/abs/2509.12513 https://

TESS Subgiant and Lower Red Giant Asteroseismology in the Continuous Viewing Zones
Asteroseismology, the study of stellar oscillations, and stellar modeling both offer profound insights into the fundamental properties and evolution of stars. With pySYD, a new open-source Python package, we were able to constrain the asteroseismic global parameters, $ν_{max}$ and $Δν$, for 82 solar-like oscillating subgiant and lower red giant stars, filling in the region between the Kepler dwarfs and giants. Using asteroseismic scaling relations, we were able to compute seismic masses, rad…

A graphical diagnostic of topological order using ZX calculus
Sergi Mas-Mendoza, Richard D. P. East, Michele Filippone, Adolfo G. Grushin
https://arxiv.org/abs/2509.12355 https:…

A graphical diagnostic of topological order using ZX calculus
Establishing a universal diagnostic of topological order remains an open theoretical challenge. In particular, diagnosing long-range entanglement through the entropic area law suffers from spurious contributions, failing to unambiguously identify topological order. Here we devise a protocol based on the ZX calculus, a graphical tensor network, to determine the topological order of a state circumventing entropy calculations. The protocol takes as input real-space bipartitions of a state and retu…