Results 31 to 40 of about 18,879 (188)
The dual eigenvalue problems for p-Laplacian [PDF]
Acta Mathematica Hungarica, 2013 19 ...
Cheng, Yan-Hsiou +2 more
openaire +3 more sources
Two‐Dimensional Isotropic Spatial Differentiation Through Complete Polarization Control
Advanced Optical Materials, EarlyView.This work enables two‐dimensional isotropic spatial differentiation at planar interfaces over a wide range of incident angles by extending the output polarization from linear to elliptical. The choice of incident angle can be used to balance broader spectral response at low angles and higher edge‐detection efficiency at larger angles.
Doyoon Lee, Minkyung Kim
wiley +1 more source
The spectrum of the periodic p-Laplacian
Journal of Differential Equations, 2007 New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
openaire +2 more sources
Prior Expectations Bias Confidence Judgments Through Parietal Alpha‐Band Modulation
Advanced Science, EarlyView.ABSTRACT Humans possess the metacognitive ability to estimate the likely accuracy of their own decisions through confidence judgments. Yet, whether prior information shapes confidence and the neural mechanisms mediating such influence, remain to be determined.
Luca Tarasi +4 more
wiley +1 more source
On the existence of ground state solutions to critical growth problems nonresonant at zero
Comptes Rendus. Mathématique, 2021 We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
Perera, Kanishka
doaj +1 more source
The fractional p-Laplacian on hyperbolic spaces
Mathematics in Engineering, 2023 Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian ...
Kim, Jongmyeong +2 more
openaire +2 more sources
TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens
Advanced Science, EarlyView.ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan +10 more
wiley +1 more source
Some Liouville theorems for the p-Laplacian
Electronic Journal of Differential Equations, 2002 In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
doaj
On the solvability of Dirichlet problem for the weighted p-Laplacian [PDF]
Opuscula Mathematica, 2012 The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Ewa Szlachtowska
doaj +1 more source
On the geometry of the $p$-Laplacian operator
, 2016 15 pages, 5 figures, Survey lecture given at the WIAS conference "Theory and Applications of Partial Differential Equations" in Dec ...
Kawohl, Bernd, Horák, Jiří
openaire +2 more sources