Results 291 to 300 of about 5,764,328 (311)

Poly(lactic-<i>co</i>-glycolic acid) for reagent storage and controlled release in thermoplastic microfluidics.

Lab Chip
Lee J, Benke EH, White IM, DeVoe DL.
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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

Mathematical Models and Methods in Applied Sciences, 1993
In this paper we prove the existence of nonnegative and non-trivial solutions of problems of the form [Formula: see text] Our main result improves many previous results of other authors and it may be applied to study the three standard situations: competition, prey-predator and cooperative models.
Cañada, A., Gámez, J. L.
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Initial Position—Solution Process

2021
Extensive numerical analyzes with varying moduli of elasticity and varying geometries (diameter and disc size) always show an analogous course of deformations, stresses and distortions at the contact area. These curves rep- resent similar trigonometric functions but with different constant parameters.
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Multiple solutions of positively homogeneous equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
The authors study the existence and multiplicity of periodic solutions to the following system \[ u''- Au + \mu u^+ - \nu u^- = v + h(t), \] where \(h\) is a continuous and \(T\)-periodic function, \(v\in \mathbb{R}^N\), and \(A\) is a symmetric matrix. The main results are the following: (1) Under some reasonable assumptions, this system has at least \
FONDA, ALESSANDRO, TORRES P.
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ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
In this paper the authors study weak solutions of elliptic equations of the form in a bounded domain . It is assumed known about these solutions either that they are positive, or that estimates in certain norms hold for their negative parts. It is assumed moreover that an estimate on the -norm of the solution holds on some subdomain .
Pletneva, T. G., Eidel'man, S. D., Kondrat'ev, V. A.   +2 more
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Positive Solution of Lighthill-Type Equations

Zeitschrift für Analysis und ihre Anwendungen, 2018
We study a unique solvability of Volterra integral equations of Lighthill’s type subject to a positive solution on [0,\infty) . Also the asymptotics of the solution at the infinity is examined.
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Positive Solution of Two‐Dimensional Solute Transport in Heterogeneous Aquifers

Groundwater, 2006
Abstract The transport of contaminants in aquifers is usually represented by a convection‐dispersion equation. There are several well‐known problems of oscillation and artificial dispersion that affect the numerical solution of this equation. For example, several studies have shown that standard treatment of the cross‐dispersion terms
Paulo, Herrera, Albert, Valocchi
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Positive Solutions of Quasilinear Elliptic Equations

Mathematical Notes, 2005
The author studies the existence of radially symmetric solutions of the problem \[ -\Delta_p \varphi = \lambda\varphi^q - | \nabla\varphi| ^s \quad\text{in}\quad B, \qquad \varphi > 0 \quad\text{in}\quad B, \qquad \varphi = 0 \quad\text{on}\quad \partial B, \tag \(*\) \] where \(\Delta_p\varphi = \text{div}(| \nabla\varphi| ^{p-2}\nabla\varphi)\), \(p ...
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