Results 91 to 100 of about 77,874 (311)
The Lazer McKenna conjecture for radial solutions in the RN ball
nonlinearity contains the first $k$ eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem.
Alfonso Castro, Sudhasree Gadam
doaj
Biophysical characterisation shows that NanX, a membrane transport protein from the major facilitator superfamily (MFS), forms both monomers and dimers after purification. AlphaFold modelling and substrate docking provide information on residues likely involved in substrate recognition for NanX and another MFS member, NanT.
Michael C. Newton‐Vesty +13 more
wiley +1 more source
We consider the existence of positive radial solutions to a class of elliptic boundary value problem with gradient term. The existence of positive radial solutions is obtained by using the Leray-Schauder fixed point theorem.
TANG Ying, LI Yong-Xiang
doaj
Infinitely Many Radial and Non-Radial Solutions for a Class of Hemivariational Inequalities
This paper deals with the study of the following class of hemivariational inequalities: find \(u\in H^1(\mathbb R^N)\) such that \[ \int_{\mathbb R^N}(\nabla u\nabla w+uw)dx+\int_{\mathbb R^N}F^0_x(x,u(x);-w(x))dx\geq 0, \] for all \(w\in H^1(\mathbb R^N)\), where \(F^0\) stands for the generalized directional derivative in the sense of Clarke.
openaire +3 more sources
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 +6 more
wiley +1 more source
Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation [PDF]
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core
Large radial solutions of a polyharmonic equation with superlinear growth
This paper concerns the equation $Delta!^m u=|u|^p$, where $minmathbb{N}$, $pin(1,infty)$, and $Delta$ denotes the Laplace operator in $mathbb{R}^N$, for some $Ninmathbb{N}$. Specifically, we are interested in the structure of the set $mathcal{L}$ of all
J. Ildefonso Diaz +2 more
doaj
Asymptotic Solutions of Serial Radial Fuel Shuffling
In this paper, the mechanism of traveling wave reactors (TWRs) is investigated from the mathematical physics point of view, in which a stationary fission wave is formed by radial fuel drifting. A two dimensional cylindrically symmetric core is considered
Xue-Nong Chen, Edgar Kiefhaber
doaj +1 more source
ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem +17 more
wiley +1 more source
A Depolarizing Leak in Sodium Bicarbonate Cotransporter NBCe1 Causes Brain Edema
ABSTRACT Objectives SLC4A4 encodes electrogenic sodium bicarbonate cotransporter NBCe1, prominently expressed in kidney and brain. Recessive loss‐of‐function variants in SLC4A4 cause proximal renal tubular acidosis, no brain edema. In the brain, NBCe1 is expressed by astrocytes, where it regulates pH and mediates astrocyte volume changes.
Quinty Bisseling +16 more
wiley +1 more source

