Results 261 to 270 of about 199,828 (311)
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Mathematical Methods in the Applied Sciences, 1996
Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Studies in Applied Mathematics, 2002
This is a continuation of our earlier article concerning the boundary‐value problem where A, B are prescribed constants, and 0 < ε≪ 1 is a small positive parameter. In that article, we assumed the coefficients a(x) and b(x) are sufficiently smooth functions with the behavior given by a(x) ∼αx and b(x) ∼β as x→ 0, where α> 0 and β/α≠ 1, 2, 3,…. In
Wong, Roderick, Yang, Heping
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This is a continuation of our earlier article concerning the boundary‐value problem where A, B are prescribed constants, and 0 < ε≪ 1 is a small positive parameter. In that article, we assumed the coefficients a(x) and b(x) are sufficiently smooth functions with the behavior given by a(x) ∼αx and b(x) ∼β as x→ 0, where α> 0 and β/α≠ 1, 2, 3,…. In
Wong, Roderick, Yang, Heping
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Journal of Mathematical Physics, 1961
An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external uniform and constant magnetic field.
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An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external uniform and constant magnetic field.
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Synthese, 2006
Where is the justificatory boundary between a true belief’s not being knowledge and its being knowledge? Even if we put to one side the Gettier problem, this remains a fundamental epistemological question, concerning as it does the matter of whether we can provide some significant defence of the usual epistemological assumption that a belief is ...
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Where is the justificatory boundary between a true belief’s not being knowledge and its being knowledge? Even if we put to one side the Gettier problem, this remains a fundamental epistemological question, concerning as it does the matter of whether we can provide some significant defence of the usual epistemological assumption that a belief is ...
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Proceedings of the London Mathematical Society, 1988
Suppose S is the usual class of functions \(f(z)=z+a_ 2z\) \(2+..\). analytic and univalent in the unit disk U. Various properties of the support points and the extreme points of S are known, and it has been conjectured that every extreme point is a support point.
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Suppose S is the usual class of functions \(f(z)=z+a_ 2z\) \(2+..\). analytic and univalent in the unit disk U. Various properties of the support points and the extreme points of S are known, and it has been conjectured that every extreme point is a support point.
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The classification and boundary problem
1991We propose the concept of “the classification and boundary problem” and review a few types of reasonings in our daily life from the angle of this problem. As a typical example, we treat the topic of a realization of non-monotonic reasoning based on a logic programming.
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SIAM Journal on Mathematical Analysis, 1974
Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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Boundary-value problems with nonlinear boundary conditions
Nonlinearity, 1988The authors deal with a general boundary value problem of the type: \(x'=F(t,x),T(x)=y,y\in R^ n\) where \(F(t,x)=A(t)x+f(t,x)\) and T is a continuous but not necessarily linear operator. It is shown that under suitable conditions the problem has at least one solution. The proof relies on a fixed-point theorem for condensing maps.
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE
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1992
The simplest frictionless contact problem of the class defined by equations (29.3–29.6) is that in which the contact area A is the circle 0 < r < a and the indenter is axisymmetric, in which case we have to determine a harmonic function φ(r, z) to satisfy the mixed boundary conditions $$\frac{{\partial \varphi }}{{\partial z}} = - \frac{\mu }{{(1 -
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The simplest frictionless contact problem of the class defined by equations (29.3–29.6) is that in which the contact area A is the circle 0 < r < a and the indenter is axisymmetric, in which case we have to determine a harmonic function φ(r, z) to satisfy the mixed boundary conditions $$\frac{{\partial \varphi }}{{\partial z}} = - \frac{\mu }{{(1 -
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International Boundaries: A Study of Boundary Functions and Problems.
Journal of the American Statistical Association, 1940(1940). International Boundaries: A Study of Boundary Functions and Problems. Economic Geography: Vol. 16, No. 4, pp. 446-447.
Malcolm J. Proudfoot +1 more
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