Results 121 to 130 of about 280,466 (259)

Fractional infinity Laplacian with obstacle

open access: yesESAIM: Control, Optimisation and Calculus of Variations
This paper deals with the obstacle problem for the fractional infinity Laplacian with nonhomogeneous term f ( u ), where f : ℝ + ↦ ℝ +
Samer Dweik, Ahmad Sabra
openaire   +2 more sources

On a non-existence result involving the fractional p-Laplacian

open access: yes, 2015
International audienceWe consider a nonlocal problem involving the fractional pp-Laplacian operator in bounded smooth domains. A non-existence result is obtained via a comparison process.
Louis-Rose, Carole, Velin, Jean
core  

Variational inequalities for the spectral fractional Laplacian

open access: yes, 2017
In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian of order s ∈ (0, 1), in a bounded ...
R. Musina   +3 more
core   +1 more source

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

open access: yesComputer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov   +3 more
wiley   +1 more source

Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional $p$-Laplacians

open access: yes, 2020
In this paper, we first establish Hopf's lemmas for parabolic fractional equations and parabolic fractional $p$-equations. Then we derive an asymptotic Hopf's lemma for antisymmetric solutions to parabolic fractional equations. We believe that these Hopf's lemmas will become powerful tools in obtaining qualitative properties of solutions for nonlocal ...
Wang, Pengyan, Chen, Wenxiong
openaire   +2 more sources

Bounded resonant problems driven by fractional Laplacian

open access: yes, 2021
In this paper we study the existence of nontrivial solutions for the fractional Laplacian resonance problem with a bounded nonlinearity via Morse theory and a penalization ...
Su, Jiabao, Chen, Yutong
core  

ManyWaves: A Visual Analytics Approach for Exploring Multivariate Spatiotemporal Data Based on the Graph Wavelet Transform

open access: yesComputer Graphics Forum, EarlyView.
ManyWaves leverages the Graph Wavelet Transform and convolutional autoencoding to detect and compare abrupt multivariate spatiotemporal changes. Through coordinated heatmap, projection, map, and time‐series views, the system enables analysts to uncover and validate co‐occurring events across space, time, and multiple variables.
Giovani Valdrighi   +5 more
wiley   +1 more source

On (Global) unique continuation properties of the fractional discrete Laplacian

open access: yes
We study various qualitative and quantitative (global) unique continuation properties for the fractional discrete Laplacian. We show that while the fractional Laplacian enjoys striking rigidity properties in the form of (global) unique continuation ...
Fernández Bertolin, Aingeru   +2 more
core   +1 more source

Autoregressive Hypergraph

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley   +1 more source

High‐throughput, high‐fidelity reconstruction of whole mouse‐heart cytoarchitecture at cellular scale

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Experimental workflow of the dual‐camera light‐sheet microscope (dual‐mesoSPIM) pipeline. Intact adult mouse hearts undergo CUBIC‐based delipidation and refractive‐index matching, rendering the whole organ optically transparent (left).
Francesco Giardini   +12 more
wiley   +1 more source

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