Results 61 to 70 of about 8,578,478 (315)
Nonexistence of positive radial solutions for a problem with singular potential
This article completes the picture in the study of positive radial solutions in the function space đ1,2(âN)â©L2(âN,|x|-αdx)â©Lp(âN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
doaj +1 more source
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
core +1 more source
Vacuolar H+âATPase (VâATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its largeâscale functional motions. We show that intrinsically encoded âsoft modesâ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
wiley +1 more source
Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations
Three results concerning the radial symmetry and asymptotic behaviour at \(x=\infty\) of positive solutions of \[ \Delta u = \varphi(\mid x\mid)u^{\lambda}, \quad x\in \mathbb{R}^n \] and \(|x|\) large are presented. Here \(\lambda>1\) and \(\varphi(r)\) is positive and continuous for \(r\) large. There are three cases which are separately analysed: (I)
openaire +1 more source
Existence of Positive Radial Solutions of General Quasilinear Elliptic Systems [PDF]
Let $\Omega\subset\mathbb R^{n}\ (n\geq2)$ be either an open ball $B_R$ centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form \begin{equation*} \left\{ \begin{aligned ...
Devine, Daniel
core
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basalâlike tumour cell state. This process was found to be regulated by combined TP53 lossâofâfunction and typeâI interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Nonexistence of radial positive solutions for a nonpositone system in an annulus
In this article we study the nonexistence of radial positive solutions for a nonpositone system in an annulus by using energy analysis and comparison methods.
Said Hakimi
doaj
MagmaFlow: A desktop platform for artificial intelligenceâdriven expression analysis
MagmaFlow is a free, noâcode platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publicationâready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
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. NewtonâVesty +13 more
wiley +1 more source
Bounded and large radially symmetric solutions for some (p,q)-Laplacian stationary systems
This article concerns radially symmetric positive solutions of second-order quasilinear elliptic systems. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at ...
Adel Ben Dkhil, Noureddine Zeddini
doaj

