Results 251 to 260 of about 69,875 (273)

Extremal Positive Solutions of Semilinear Schrödinger Equations

Canadian Mathematical Bulletin, 1983
AbstractNecessary and sufficient conditions are proved for the existence of maximal and minimal positive solutions of the semilinear differential equation Δu = -ƒ(x, u) in exterior domains of Euclidean n-space. The hypotheses are that ƒ(x, u) is nonnegative and Hölder continuous in both variables, and bounded above and below by ugi(| x |, u), i = 1, 2,
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Extremal Solutions of Multivalued Differential Equations II

Results in Mathematics, 1989
Given a cone \(K\subset\mathbb{R}^ n\) and a set-valued differential equation \(\dot x\in F(t,x)\), \(t\in J=[0,a]\), the author wants to find an absolutely continuous solution which is minimal with respect to the ordering induced by \(K\). The assumptions on \(F\) are the following: (1) \(\| F(t,x)\|\leq c(t)(1+\| x\|)\), \(c\in L^ 1(J)\); (2) \(f(t,x)
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Existence of solutions of extremal problems

Cybernetics and Systems Analysis, 1995
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Viscosities of extremely dilute polystyrene solutions

Journal of Polymer Science, 1954
AbstractIt is shown that ηsp/c for a polystyrene fraction (M̄v = 250,000) in toluene decreases approximately linearly as the concentration is lowered from 1.0 to 0.1 g./100 ml. and then increases to a maximum at 0.001 g./100 ml. as the concentration is lowered still further.
D. J. Streeter, R. F. Boyer
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Extremal Solutions in the Marginal Problem

1991
This is a review paper collecting both older and recent progress in the field of twodimensional marginal problem concerning the extreme points of the set of solutions. Some new results in the characterization of extremal solutions are presented in Section 5.
Viktor Benes, Josef Stepan
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Dielectric Constants of Extremely Dilute Solutions

The Journal of Chemical Physics, 1936
The dielectric behavior of unusually dilute solutions of ethyl alcohol in the nonpolar solvents benzol and carbon tetrachloride have been investigated down to 0.00007 molefraction concentration of alcohol. This concentration of molecules corresponds to a gaseous pressure of only 1.5 cm of Hg. The effect of an apparently anomalous behavior often present
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Thermodynamics of Extremely Diluted Aqueous Solutions

Annals of the New York Academy of Sciences, 1999
V, Elia, M, Niccoli
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Extreme point solution

2001
Saul I. Gass, Carl M. Harris
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Extremal solutions for nonlocal dispersal equations

Analysis and Applications
This paper is devoted to the study of the extremal (global maximal or minimal) solutions for some nonlocal dispersal equations. We investigate sufficient conditions for the existence of extremal solutions. In addition, we establish the uniqueness of positive solution and obtain various uniqueness results when the nonlinearity satisfies specific ...
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Extremal solutions of parabolic hemivariational inequalities

Nonlinear Analysis, 2001
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