Results 11 to 20 of about 18,491,428 (214)

Nodal domain count for the generalized graph p-Laplacian [PDF]

open access: yes, 2023
Inspired by the linear Schrödinger operator, we consider a generalized p-Laplacian operator on discrete graphs and present new results that characterize several spectral properties of this operator with particular attention to the nodal domain count of ...
Deidda P., Putti M., Tudisco F.
core   +1 more source

Two positive solutions for a nonlinear Robin problem involving the discrete p−Laplacian [PDF]

open access: yes, 2022
In this paper, combining variational methods and truncations techniques, the existence of at least two positive solutions for a nonlinear difference equation involving the discrete p-Laplacian with Robin boundary conditions is ...
D'agui G., Candito P., Amoroso E.
core   +1 more source

Radial symmetry for a generalized nonlinear fractional p-Laplacian problem

open access: yes, 2021
This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Zhang, Lihong   +3 more
core   +1 more source

Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator [PDF]

open access: yes, 2015
summary:We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet $p$-Laplacian and the Navier $p$-biharmonic operator on a ball of radius $R$ in $\mathbb R^N$ and its asymptotics for $p$ approaching $1$ and $\infty ...
Benedikt, Jiří
core   +1 more source

Approximation of an Optimal Control Problem in the Coefficient for Variational Inequality with Anisotropic p-Laplacian [PDF]

open access: yes, 2016
We study an optimal control problem for a variational inequality with the so-called anisotropic $p$-Laplacian in the principle part of this inequality. The coefficients of the anisotropic $p$-Laplacian, the matrix $A(x)$, we take as a control.
Olha, P. Kupenko, MANZO, Rosanna
core   +1 more source

Comparison of Laplacian differential reconstruction of inline holograms recorded at two different wavelengths and distances

open access: yes, 2010
Paper presented at Biomedical Optics (BIOMED) Miami, Florida, April 11, 2010We record two holograms using two different illuminating wavelengths. Subtracting these holograms, the resulting reconstruction is an approximation to the second order Laplacian
Dayan Li   +5 more
core   +1 more source

Two Positive Solutions for a Nonlinear Neumann Problem Involving the Discrete p-Laplacian

open access: yes, 2020
This paper is devoted to study of existence of at least two positive solutions for a nonlinear Neumann boundary value problem involving the discrete p ...
Bonanno, G.   +5 more
core   +1 more source

Flexible Dielectric Acoustic Resonator Patch for Tissue Regeneration

open access: yesAdvanced Materials, EarlyView.
A flexible dielectric acoustic resonator patch enables MHz‐range ultrasound generation through resonance amplification without using piezoelectric materials. Conformal integration on a curved substrate allows efficient acoustic delivery to tissue‐mimicking environments.
Donyoung Kang   +7 more
wiley   +1 more source

A multiplicity theorem for problems with the p-Laplacian

open access: yes, 2007
We consider a nonlinear elliptic problem driven by the p-Laplacian, with a parameter λ∈R and a nonlinearity exhibiting a superlinear behavior both at zero and at infinity.
Papageorgiou, EH   +5 more
core   +1 more source

Enhancing Small Molecule Sensing With Aptameric Functionalized Nano Devices

open access: yesAdvanced Materials Technologies, EarlyView.
Unveiling an ultra‐sensitive, non‐invasive neurotransmitter sensor. For the first time, a nanoscale sensor for detecting an important neurotransmitter was demonstrated using micro‐electromechanical systems (MEMS) technology. Our approach utilized field‐effect transistor (FET)‐based readout to enable pico‐molar detection of biomarkers in sweat.
Thi Thanh Ha Nguyen   +11 more
wiley   +1 more source

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