Results 31 to 40 of about 24,170,313 (193)

Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation

open access: yes, 2023
We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction presented] where ε > 0, s ∈ (0, 1), p ∈ [2,∞), N > sp, (-Δ)ps is the fractional p-Laplacian operator, V: RN → R is a continuous potential satisfying a local ...
Alves C. O.   +3 more
core   +1 more source

Preserving Motor Features by Alternative Re‐Referencing to Remove Heart Artifact on the Stentrode

open access: yesAdvanced Science, EarlyView.
Endovascular brain‐computer interfaces record neural activity from within cerebrovasculature, at the expense of electrocardiogram contamination. Band‐limited independent component analysis separates this heart‐based artifact from task‐relevant neural activity in each frequency band, enabling the reconstruction of cleaner neural recordings without the ...
Ariel K. Feldman   +11 more
wiley   +1 more source

The Brezis-Nirenberg problem for the fractional p-Laplacian [PDF]

open access: yes, 2016
We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian.
Squassina, Marco
core   +1 more source

B Cells are Activated via a Nanoporous Interface that Stabilizes Microvilli and Engages Mechanosensitive Ion Channels

open access: yesAdvanced Science, EarlyView.
B cells can be activated independently of antigen recognition via mechanical stimulation through nanoporous substrates. Exposure to such substrates induced B cell microvilli extension into the pores, intracellular Ca2+ signaling, phosphorylation of signaling proteins, and CD69 expression.
Nozie D. Aghaizu   +4 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  

Transference of Fractional Laplacian Regularity

open access: yes, 2014
In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus Tn from the fractional Laplacian on ℝn. Though at first glance this may seem quite natural, it must be carefully precised.
Stinga, P.R. [0000-0001-5178-7112]   +3 more
core   +1 more source

Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting

open access: yesAdvanced Science, EarlyView.
Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family   +3 more
wiley   +1 more source

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

open access: yesAdvanced 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   +7 more
wiley   +1 more source

The fractional $p$-Laplacian on hyperbolic spaces

open access: yes, 2022
We present three equivalent definitions of the fractional $p$-Laplacian $(-\Delta_{\mathbb{H}^{n}})^{s}_{p}$, $01$, with normalizing constants, on the hyperbolic spaces.
Lee, Ki-Ahm   +2 more
core  

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

open access: yes, 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

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