Results 131 to 140 of about 1,519 (300)

Existence and multiplicity of solutions for a degenerate nonlocal elliptic differential equation

Electronic Journal of Differential Equations, 2013
Using variational arguments, we study the existence and multiplicity of solutions for the degenerate nonlocal differential equation $$displaylines{ - MBig(int_Omega |x|^{-ap}|abla u|^p,dxBig)operatorname{div} Big(|x|^{-ap}|abla u|^{p-2}abla uBig) = |
Nguyen Thanh Chung, Hoang Quoc Toan
doaj  

Quasiconformal mappings and degenerate elliptic and parabolic equations

, 1989
In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation.
Chiarenza, Filippo, Franciosi, Michelangelo   +1 more
core  

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

Advanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source

On the Gierer-Meinhardt System with Saturation

, 2004
We consider the following shadow Gierer-Meinhardt system with saturation: \left\{\begin{array}{l} A_t=\epsilon^2 \Delta A -A + \frac{A^2}{ \xi (1+k A^2)} \ \ \mbox{in} \ \Omega \times (0, \infty),\\ \tau \xi_t= -\xi +\frac{1}{|\Omega|} \int_\Om A^2 ...
Winter, M, Wei, J
core   +1 more source

3D Large‐Scale Subwavelength‐Resolution Sound Sheet Tomography Based on an Active and Programmable Circular Meta‐Array

Advanced Science, EarlyView.
A programmable 2048‐element circular ultrasound array combined with a compact acoustic lens produces a thin “sound sheet” over a large field of view, and records echoes with wide angular diversity across the ring aperture. Coherence‐enhanced beamforming converts full‐matrix data into high‐contrast tomographic slices, delivering near‐diffraction‐limited
Qiu‐De Zhang, Zi‐Bin Lin, Zhuo Chen, Zhao‐Hui Liu, Jin‐Lian He, Jun‐Jie Song, Long‐Sheng Zeng, Liang Zhou, Ming‐Yue Ding, Yu‐Gui Peng, Ming Yuchi, Xue‐Feng Zhu   +11 more
wiley   +1 more source

On multi-lump solutions to the non-linear Schrodinger equation

Electronic Journal of Differential Equations, 1998
We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrodinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function.
Robert Magnus
doaj  

Enhancing Maturation of Human Neuromuscular Organoids via Electrical Stimulation

Advanced Science, EarlyView.
A framework for on‐demand and non‐invasive exposure of human neuromuscular organoids (NMOs) to electrical stimuli is established to promote their maturation. The robustness and effectiveness of different stimulation regimes are evaluated via thorough characterization of organoid tissue structure and contraction capacity. Chronic electrical stimulation,
Chrysanthi‐Maria Moysidou, Inês Afonso Martins, Ismail Amr El‐Shimy, Iacopo Bicci, Donatella Cea, Christina Bukas, Isra Mekki, Mara‐Camelia Rusu, Aylin Nebol, Ines Lahmann, Marie Piraud, Enrico Klotzsch, Mina Gouti   +12 more
wiley   +1 more source

Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems

, 1999
In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core  

Two‐Dimensional Triferroics: From Fundamental Couplings to Multifunctional Applications

Advanced Science, EarlyView.
This graphic summarizes the three main types of currently reported 2D triferroic couplings. From the structural perspective, existing systems can be broadly classified into two categories, which exhibit distinct symmetry features and coupling behaviors. Beyond the lattice difference, a third type involves the interplay among ferroelectricity, magnetism,
Yang Li, Jialin Gong, Zhiqing Li
wiley   +1 more source

Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition

Electronic Journal of Differential Equations, 2018
We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth.
Dusan D. Repovs
doaj