Results 61 to 70 of about 43,657 (228)

Lipschitz Regularity of Fractional p-Laplacian

Annals of PDE
31 pages, 1 ...
Biswas, Anup, Topp, Erwin
openaire   +2 more sources

On the fractional Laplacian and nonlocal operators [PDF]

, 2018
The aim of this work is to study certain type of operators that have adquired a renewed relevance in the last decade. This wide class of operators, genericaly called nonlocal operators, appears naturally in many applications in physics, probability ...
Restrepo Montoya, Daniel Eduardo
core  

Maximum principles for Laplacian and fractional Laplacian with critical integrability [PDF]

, 2022
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order term and first order term. It is well known that for the Laplacian with zero
Li, Congming, Lü, Yingshu
core   +1 more source

On a coupled system of fractional sum-difference equations with p-Laplacian operator

Advances in Difference Equations, 2020
In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both Riemann–Liouville and Caputo fractional difference with
Pimchana Siricharuanun, Saowaluck Chasreechai, Thanin Sitthiwirattham   +2 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics

Advanced Intelligent Discovery, EarlyView.
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong, Zijian Huang, Xuanwu Wang, Zhenghui Feng, Wei Liu, Bingding Huang   +5 more
wiley   +1 more source

On fractional p-Laplacian parabolic problem with general data [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2017
In this article the problem to be studied is the following $$ (P) \left\{ \begin{array}{rcll} u_t+(-\D^s_{p}) u & = & f(x,t) & \text{ in } Ø_{T}\equiv Ω\times (0,T), \\ u & = & 0 & \text{ in }(\ren\setminusØ) \times (0,T), \\ u & \ge & 0 & \text{ in }\ren \times (0,T),\\ u(x,0) & = & u_0(x) & \mbox{ in }Ø,
B. Abdellaoui, A. Attar, R. Bentifour, I. Peral   +3 more
openaire   +3 more sources

Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

Advances in Difference Equations, 2021
The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of
Jufang Wang, Changlong Yu, Boya Zhang, Si Wang   +3 more
doaj   +1 more source

Uncertainty‐Guided Selective Adaptation Enables Cross‐Platform Predictive Fluorescence Microscopy

Advanced Intelligent Discovery, EarlyView.
Deep learning models often fail when transferred to new microscopes. A novel framework overcomes this by selectively adapting the early layers governing low‐level image statistics, while freezing deep layers that encode morphology. This uncertainty‐guided approach enables robust, label‐free virtual staining across diverse systems, democratizing ...
Kai‐Wen K. Yang, Andrew Bai, Alexandra Bermudez, Yunqi Hong, Zoe Latham, Iris Sloan, Michael Liu, Vishrut Goyal, Cho‐Jui Hsieh, Neil Y. C. Lin   +9 more
wiley   +1 more source

Sobolev versus Hölder minimizers for the degenerate fractional p-Laplacian [PDF]

, 2020
We consider a nonlinear pseudo-di erential equation driven by the fractional p-Laplacian (−∆)sp with s ∈ (0,1) and p ⩾ 2 (degenerate case), under Dirichlet type conditions in a smooth domain Ω.
MOSCONI, SUNRA JOHANNES NIKOLAJ, Marco Squassina, Iannizzotto A., SQUASSINA, MARCO   +3 more
core   +1 more source