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Algebraic Systems with Positive Coefficients and Positive Solutions

Mathematics, 2022
The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients.
Ana Maria Acu, Ioan Raşa, Ancuţa Emilia Şteopoaie   +2 more
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Positive Solutions of Advanced Differential Systems [PDF]

The Scientific World Journal, 2013
We study asymptotic behavior of solutions of general advanced differential systems y˙(t)=F(t,yt), where F:Ω→ℝn is a continuous quasi-bounded functional which satisfies a local Lipschitz condition with respect to the second argument and Ω is a subset in ℝ×
Josef Diblík, Mária Kúdelčíková
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Positive Solutions of Elliptic Kirchhoff Equations

Advanced Nonlinear Studies, 2017
We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
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On Positivity Sets for Helmholtz Solutions

Vietnam Journal of Mathematics, 2023
AbstractWe address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain.
Pu-Zhao Kow, Mikko Salo, Henrik Shahgholian   +2 more
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Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation

Boundary Value Problems, 2022
In this paper, we show that the radially symmetric k-admissible solutions set of a k-Hessian equation Dirichlet problem with homogeneous boundary condition contains a reversed S-shaped connected component.
Liangying Miao, Zhiqian He
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Positive Solutions of Positive Linear Equations [PDF]

Proceedings of the American Mathematical Society, 1972
Let B B be a real vector lattice and a Banach space under a semimonotonic norm. Suppose
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Root turnover and soil indicators capture belowground recovery following saltmarsh restoration [PDF]

Biogeosciences
Coastal wetlands, including saltmarsh, are highly productive ecosystems, with carbon- and nutrient-rich soils supporting biodiversity. Beyond carbon stocks and sequestration, the responses to restoration of these nutrient-rich and structurally complex ...
S. K. B. Olsson, S. K. B. Olsson, A. Akhand, A. Akhand, P. I. Macreadie, P. I. Macreadie, J. Kaal, S. Nuyts, P. E. Carnell, P. E. Carnell, S. M. Trevathan-Tackett, S. M. Trevathan-Tackett   +11 more
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Unmet basic needs negatively affect health-related quality of life in people aging with HIV: results from the Positive Spaces, Healthy Places study

BMC Public Health, 2018
Background Basic needs (e.g., food security and stable housing) are important determinants of health and well-being, yet their impact on health-related quality of life (HRQoL) in the context of HIV and aging has not been systematically investigated ...
Phan Sok, Sandra Gardner, Tsegaye Bekele, Jason Globerman, Mary V. Seeman, Saara Greene, Michael Sobota, Jay J. Koornstra, LaVerne Monette, Keith Hambly, Stephen W. Hwang, James Watson, Glen Walker, Sean B. Rourke, The Positive Spaces, Healthy Places Team   +14 more
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Positive solutions for nonparametric anisotropic singular solutions [PDF]

Opuscula Mathematica
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Xueying Sun   +2 more
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On Positive Solutions of the Heat Equation [PDF]

Nagoya Mathematical Journal, 1967
Consider the positive and twice continuously differentiable solutions u of the heat equationin an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).
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