Results 61 to 70 of about 31,104 (274)

A Correlative SICM‐OPM Platform for Surface and Volumetric Imaging in Live Cells

open access: yesAdvanced Science, EarlyView.
A multifunctional correlative imaging platform integrating Scanning Ion Conductance Microscopy (SICM) with Oblique Plane Microscopy (OPM) enables simultaneous surface topography, mechanical mapping, and 3D volumetric fluorescence imaging in live cells.
Wenzhi Hong   +13 more
wiley   +1 more source

Strongly nonlinear elliptic problem without growth condition

open access: yesElectronic Journal of Differential Equations, 2002
We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
doaj  

On fractional p-Laplacian problems with weight [PDF]

open access: yes, 2014
We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel   +2 more
core  

The dual eigenvalue problems for p-Laplacian [PDF]

open access: yesActa Mathematica Hungarica, 2013
19 ...
Cheng, Yan-Hsiou   +2 more
openaire   +3 more sources

Two overdetermined problems for anisotropic $ p $-Laplacian

open access: yesMathematics in Engineering, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chao Xia, Jiabin Yin
openaire   +2 more sources

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

Global branching for discontinuous problems involving the p-Laplacian

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we study elliptic problems with discontinuous nonlinearities involving the p-Laplacian both in bounded and unbounded domains. We prove that there exists a global branch of positive solutions under some suitable assumptions of the ...
Guowei Dai, Ruyun Ma
doaj  

Weyl-type laws for fractional p-eigenvalue problems

open access: yes, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

$p$-Laplacian and Lienard-Type Equation

open access: yesRocky Mountain Journal of Mathematics, 1997
Consider the Liénard-type equation \((*)\) \((|u'|^{p-2}u')' + \mu f(u)|u'|^{p-2}u' + g(u)=0\) where \(p>1\) and \(\mu\) is a small parameter. Under the assumptions that \(f\) and \(g\) are continuous and satisfy \(g(x)=-g(-x)\), \(g(x)x>0\) for \(x \neq 0\), \(f(x)=f(-x)\), and under additional conditions on \(F(x)=\int^x_0 f(s)ds\), the authors prove
Manásevich, Raúl   +1 more
openaire   +3 more sources

A problem involving the p-Laplacian operator [PDF]

open access: yesDifferential Equations & Applications, 2017
Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $- _p u= |u|^{q-2}u$, $u|_{\partial }=0$ if and only if a solution to $- _p u= |u|^{q-2}u+f$, $u|_{\partial }=0$, $f\in L^{p'}( )$ ($p'$ being the conjugate of $p$), exists for $q\in (1,p)\bigcup (p,p^{*})$ under a certain condition ...
Giri, Ratan Kr., Choudhuri, D.
openaire   +2 more sources

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