Results 31 to 40 of about 16,079 (267)
Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains
Mathematics, 2021 In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
doaj +1 more source
FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
Existence and nonexistence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2017 In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ${\mathbb R}^{N}$ with u=0 on $\partial B_{R}$ where f is odd with f0 on $(\beta, \infty)$, $f(u)\sim u^
Joseph A. Iaia
doaj
Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
FEBS Letters, EarlyView.The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
Constancy of Functions via a Complement to Ekeland Variational Principle
MathematicsThis paper establishes new criteria for the constancy of real-valued functions defined on general Banach spaces and on exterior domains in Rn. The main analytical tool is a complement to Ekeland’s variational principle, while several auxiliary lemmas ...
Filippo Cammaroto
doaj +1 more source
Phosphoinositides and inositol phosphates as molecular glues
FEBS Letters, EarlyView.Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry +9 more
wiley +1 more source
Existence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2017 In this article we prove the existence of an infinite number of radial solutions of $\Delta u + K(r)f(u)= 0$, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ...
Joseph A. Iaia
doaj
Mixed Boundary Value Problems for the Elasticity System in Exterior Domains
Mathematical and Computational Applications, 2019 We study the properties of solutions of the mixed Dirichlet−Robin and Neumann−Robin problems for the linear system of elasticity theory in the exterior of a compact set and the asymptotic behavior of solutions of these problems at infinity ...
Hovik A. Matevossian
doaj +1 more source
A Nonlinear Parabolic Problem in an Exterior Domain
Journal of Differential Equations, 1998 The author considers the parabolic differential equation \(u_t -\Delta u +u^p=0\) in the exterior of a bounded domain with finitely many components, each having a smooth boundary. Zero Dirichlet data is prescribed along with an initial function \(u_0\) such that \[ \lim_{| x| \to\infty} \frac {u^0(x)}{A| x| ^{-\alpha}} = 1 \] for some positive ...
openaire +2 more sources
On the Poisson equation in exterior domains
Constructive Mathematical Analysis, 2022 We construct a solution of the Poisson equation in exterior domains $\Omega \subset \mathbb R^n,\;n \ge 2,$ in homogeneous Lebesgue spaces $L^{2,q}(\Omega),;1 < q <\infty,$ with methods of potential theory and integral equations. We investigate the corresponding null spaces and prove that its dimensions is equal to $n+1$ independent of $q$
openaire +2 more sources