Results 61 to 70 of about 20,082 (264)

3D Closed‐Loop Navigation of Magnetic Microswimmers Using Vision‐Derived Depth Feedback

Advanced Intelligent Systems, EarlyView.
A planar magnetic microswimmer is navigated in three dimensions under a standard microscope. Image defocus supplies a real‐time depth cue, and model‐predictive control with A* planning steers the body on surfaces and in free swimming. Axial position is regulated by propulsion alone, without magnetic field gradients or extra cameras.
Yasin Cagatay Duygu, Sangwon Lee, Min Jun Kim   +2 more
wiley   +1 more source

Prufer transformation for the p-Laplacian

Electronic Journal of Differential Equations, 2010
Prufer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prufer transformation. We focus on a transformation suitable for study of boundary value problems for
Jiri Benedikt, Petr Girg
doaj  

Eigenvalues and the One-Dimensional p-Laplacian

Journal of Mathematical Analysis and Applications, 2002
The authors are concerned with determining values of \(\lambda\), for which there exist positive solutions to the boundary value problem \[ (\phi_p(u'))'+ \lambda F(t,u)= 0\quad\text{in }(0,1),\quad u(0)= u(1)= 0,\tag{P} \] with \(\phi_p(s)=|s|^{p-2}s\) and \(p> 1\).
Agarwal, Ravi P., Lü, Haishen, O'Regan, Donal   +2 more
openaire   +3 more sources

The second eigenvalue of the fractional p-Laplacian [PDF]

Advances in Calculus of Variations, 2016
AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
openaire   +5 more sources

Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan, Min Jiang, Wentao Huang, Qingchao Jiang   +3 more
wiley   +1 more source

Nodal properties for p-Laplacian systems

Electronic Journal of Differential Equations, 2017
We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters
Yan-Hsiou Cheng, Wei-Chuan Wang
doaj  

System of degenerate parabolic p-Laplacian

Open Mathematics
In this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
doaj   +1 more source

Uniqueness and stability of solutions without the boundary condition

Boundary Value Problems, 2019
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj   +1 more source

Advanced Mathematical Extensions of Data Field Theory: Hyperbolic Geometry, Gauge Theory, and Higher Structures

Advanced Physics Research, EarlyView.
This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley   +1 more source

Resolution Enhancement by Prediction of the High-Frequency Image Based on the Laplacian Pyramid

EURASIP Journal on Advances in Signal Processing, 2006
According to recent advances in digital image processing techniques, interest in high-quality images has been increased. This paper presents a resolution enhancement (RE) algorithm based on the pyramid structure, in which Laplacian histogram matching is
Yang Seungjoon, Jeon Bo-Won, Park Rae-Hong   +2 more
doaj   +1 more source