Results 31 to 40 of about 2,831,728 (287)

Nodal Stabilization of the Flow in a Network with a Cycle

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
In this paper we discuss an approach to the stability analysis for classical solutions of closed loop systems that is based upon the tracing of the evolution of the Riemann invariants along the characteristics.
Martin Gugat, Sven Weiland
doaj   +1 more source

Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we consider the quasilinear Schrödinger system in $\mathbb R^{N}$ ($N\geq3$): \begin{equation*} \begin{cases} -\Delta u+ A(x)u-\frac{1}{2}\Delta(u^{2})u=\frac{2\alpha }{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\\ -\Delta v+ Bv-\frac{1}{2}\
Jianqing Chen, Qian Zhang
doaj   +1 more source

Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term

open access: yesAdvanced Nonlinear Studies, 2017
The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
doaj   +1 more source

Nodal Properties of Solutions of Parabolic Equations

open access: yesRocky Mountain Journal of Mathematics, 1991
We review some known facts about the zero set of a solution of a scalar parabolic equation \(u_ t=a(x,t)u_{xx}+b(x,t)u_ x+c(x,t)u\), \(x_ ...
openaire   +2 more sources

Existence and Multiplicity of Solutions for Resonant (p,2)-Equations

open access: yesAdvanced Nonlinear Studies, 2018
We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

Nodal-line dynamics via exact polynomial solutions for coherent waves traversing aberrated imaging systems

open access: yes, 2017
We obtain exact polynomial solutions for two-dimensional coherent complex scalar fields propagating through arbitrary aberrated shift-invariant linear imaging systems.
Timothy C. Petersen (3985079)   +2 more
core   +1 more source

Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

open access: yesAdvanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

open access: yesMolecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach   +9 more
wiley   +1 more source

Fault plane solutions as related to known geological faults in and near India

open access: yesAnnals of Geophysics, 1975
Based on the focal mechanism solutions of newly determined solutions, and other recent workers the correlation between one of the nodal planes and the geological faults has been discussed for three regions namely Kashmir, Central Himalayas
N. SRIVASTAVA, A. N. TANDON
doaj   +1 more source

Cerebrospinal Fluid Over Plasma Links Analytes to Cognitive Decline in Older Adults at Risk for Alzheimer's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To identify inflammatory analytes in cerebrospinal fluid (CSF) and plasma associated with cognitive decline in cognitively normal (CN) older adults at risk for Alzheimer's disease (AD). Methods In a longitudinal study of 118 CN older adults (65–80 years, 54% APOE ε4, 26% preclinical AD), 1331 CSF and 1501 plasma analytes were ...
Jagan A. Pillai   +13 more
wiley   +1 more source

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