Results 51 to 60 of about 35,706 (291)

Radial solutions and a local bifurcation result for a singular elliptic problem with Neumann condition

Electronic Journal of Qualitative Theory of Differential Equations
We study the problem $-\Delta u=\lambda u-u^{-1}$ with a Neumann boundary condition; the peculiarity being the presence of the singular term $-u^{-1}$.
Claudio Saccon
doaj   +1 more source

The radial positive solutions of the Matukuma equation in higher dimensional space: Singular solution

Journal of Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Biao, Zhang, Zheng-ce, Li, Yi
openaire   +2 more sources

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende, Emilien Petit, Young Woo Park, Sophie Tezenas du Montcel, James M. Joers, Jonathan M. DuBois, H. Moore Arnold, Michal Povazan, Ipek Özdemir, Guita Banan, Romain Valabregue, Philipp Ehses, Jennifer Faber, Chiadi U. Onyike, Peter B. Barker, Jeremy D. Schmahmann, Eva‐Maria Ratai, Sub H. Subramony, Thomas H. Mareci, Khalaf O. Bushara, Henry Paulson, Thomas Klockgether, Alexandra Durr, Tetsuo Ashizawa, Christophe Lenglet, Gülin Öz, READISCA Investigators   +26 more
wiley   +1 more source

Radial and non-radial positive solutions to a system with critical growth on Rᴺ [PDF]

, 2017
In this talk, I will look at positive entire solutions to the following system involving the critical Sobolev exponent: -Δuᵢ = ∑ⱼ aᵢⱼ uⱼ^{(N+2)/(N-2)} in Rᴺ, uᵢ > 0 in Rᴺ, uᵢ ∈ D¹²(Rᴺ), where i=1,...,k and N ≥ 3.
Troestler, Christophe
core  

Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains

, 1990
We discuss the existence and multiplicity of positive radial solutions and the non-radial bifurcation of Δu + λf(u) = 0 in Ω and u = 0 on ∂Ω, where Ω is an annular domain of Rn, n ⩾ 2. We prove that if f(u) > 0 for u ⩾ 0 and limu → ∞f(u)u = ∞, then there
Lin, Song-Sun
core   +1 more source

Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains

Boundary Value Problems, 2008
We find the second positive radial solution for the following p-Laplacian problem: div(|∇u|p−2∇u)+K(|x|)uq=0 in Ω, u|∂Ω=0, u(x)→μ>0 as |x|→∞, where Ω={x∈ℝN:|x|>r0}, r0>0, N>p>1, K∈C(Ω,(0,à ...
Inbo Sim, Yong-Hoon Lee, Chan-Gyun Kim
doaj   +1 more source

Radial symmetry and uniqueness for positive solutions of a Schrödinger type system

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Ma, Dezhong Chen
openaire   +2 more sources

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown, Giulia Carli, Prabesh Kanel, Stiven Roytman, Jaimie Barr, Nicolaas I. Bohnen, Roger L. Albin   +6 more
wiley   +1 more source

Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion

, 2022
In this paper existence and nonexistence results of positive radial solutions of a Dirichlet $m$-Laplacian problem with different weights and a diffusion term inside the divergence of the form $\big(a(|x|)+g(u)\big)^{-\gamma}$, with $\gamma>0$ and $a ...
Baldelli, Laura, Roberta Filippucci, Laura Baldelli, Valentina Brizi, Brizi, Valentina, Filippucci, Roberta   +5 more
core   +1 more source

Existence of solutions for a system of elliptic partial differential equations

Electronic Journal of Differential Equations, 2011
In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.
Robert Dalmasso
doaj