Results 51 to 60 of about 43,657 (228)

Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian

open access: yesJournal of Function Spaces and Applications, 2013
We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut ...
Ya-ling Li, Shi-you Lin
doaj   +1 more source

Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy

open access: yesNonlinear Differential Equations and Applications NoDEA, 2022
AbstractWe deal with a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction which satisfies, among other hypotheses, a $$(p-1)$$ ( p - 1 ) -linear ...
Frassu S., Iannizzotto A.
openaire   +2 more sources

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

open access: yesAdvanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena   +3 more
wiley   +1 more source

Nonlinear commutators for the fractional p-Laplacian and applications [PDF]

open access: yesMathematische Annalen, 2015
We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional $p$-Laplace operator it implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weak fractional $p$-harmonic functions which a priori are less regular than variational solutions are in
openaire   +4 more sources

STAID: A Self‐Refining Deep Learning Framework for Spatial Cell‐Type Deconvolution with Biologically Informed Modeling

open access: yesAdvanced Science, EarlyView.
STAID is a unified deep learning framework that couples iterative pseudo‐spot refinement with neural network training through a feedback loop and exploits gene co‐expression information to model higher‐order interactions, achieving accurate and robust cell‐type deconvolution in spatial transcriptomics.
Jixin Liu   +5 more
wiley   +1 more source

Optimal control of fractional systems: a diffusive formulation [PDF]

open access: yes, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

An exciting Approach to Theoretical Spectroscopy

open access: yesAdvanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno   +29 more
wiley   +1 more source

Non-local Diffusion Equations Involving the Fractional p(·) -Laplacian [PDF]

open access: yes, 2019
In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional p(·) -Laplacian with variable exponents, which is a fractional version of the nonhomogeneous p(·) -Laplace operator. The paper is divided into two parts.
Hurtado, Elard J. [UNESP]   +1 more
core   +1 more source

Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents

open access: yesJournal of Function Spaces, 2021
In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
doaj   +1 more source

Surface Energy Modulated Self‐Assembly of Percolative Gallium Nanodroplet Films for Stretchable Electronics

open access: yesAdvanced Electronic Materials, EarlyView.
Surface‐energy guided self‐assembly of liquid metals enables the transformation of liquid metal micro/nanodroplets into continuous perocolative films on elastomeric substrates. By tailoring interfacial energetics and wetting behavior, uniform, conductive, and stretchable films are achieved, offering scalable pathways for high‐performance soft ...
Alwar Samy Ramasamy   +7 more
wiley   +1 more source

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