Results 41 to 50 of about 3,779,631 (328)
On a Robin (p,q)-equation with a logistic reaction [PDF]
We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case).
Nikolaos S. Papageorgiou +2 more
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Positive solutions of the diophantine equation
Integral solutions of x3 + λy + 1 − xyz = 0 are observed for all integral λ. For λ = 2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ = 1.
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Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia +5 more
wiley +1 more source
Positive solutions to indefinite Neumann problems when the weight has positive average
We deal with positive solutions for the Neumann boundary value problem associated with the scalar second order ODE $$ u" + q(t)g(u) = 0, \quad t \in [0, T], $$ where $g: [0, +\infty[\, \to \mathbb{R}$ is positive on $\,]0, +\infty[\,$ and $q(t)$ is an ...
A. Boscaggin +16 more
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On positive solutions of Liouville-Gelfand problem
Modern science is highly interested in processes in nonlinear media. Mathematical models of these processes are often described by boundary-value problems for nonlinear elliptic equations.
S. V. Kolosova +2 more
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Positive solutions of positive linear systems
The Volterra-Lotka equations \(dx_ i/dt=x_ i(b_ i-\Sigma a_{ij}x_ j),\) \(b_ i>0\), \(a_{ii}>0\), \(a_{ij}\geq 0\) correspond to an ecosystem with interspecies and intraspecies competition. A steady state solution \(X^*\) exists if \(b_ i-\Sigma a_{ij}X^*_ j=0\).
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Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
A curve of positive solutions for an indefinite sublinear Dirichlet problem
We investigate the existence of a curve $q\mapsto u_{q}$, with $q\in(0,1)$, of positive solutions for the problem $(P_{a,q})$: $-\Delta u=a(x)u^{q}$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded and smooth domain of $\mathbb{R}^{N}$
Kaufmann, Uriel +2 more
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Positive solutions for a class of singular boundary-value problems
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj
Positive Solutions of Semilinear Equations in Cones [PDF]
In this paper we consider the problem of finding a positive solution of the equation Δ u + | x | ν u ( n + 2 + 2
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