Results 231 to 240 of about 13,117 (268)

Asymptotics for Semilinear Elliptic Systems

Canadian Mathematical Bulletin, 1991
AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
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Interface Problems for Elliptic Systems

Journal of Partial Differential Equations, 1999
Summary: Interface problems for elliptic systems of second-order partial differential equations are studied. The main result is that the solution in the neighborhood of a singular point can be divided into two parts one of which is a solution to the homogeneous system with constant coefficients, and the other one possesses higher regularity.
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The attractor of a parabolic–elliptic system

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Positive splutions of semilinear elliptic systems

Communications in Partial Differential Equations, 1992
We investigate the existence of positive solutions of a Dirichlet problem for the system -A. =f(u),-Av =g(u) in a bounded convex domain 0 of IRN with smooth boundary. In particular L" a priori bounds are obtained in the same spirit as in De Figueiredo - Lions - Nussbaum [7].
MITIDIERI, ENZO, CLEMENT PH, DE FIGUEIREDO D.   +2 more
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An Elliptic Curve Trapdoor System

Journal of Cryptology, 2005
We propose an elliptic curve trapdoor system which is of interest in key escrow applications. In this system, a pair (Es, Epb) of elliptic curves over F2161 is constructed with the following properties: (i) the Gaudry-Hess-Smart Weil descent attack reduces the elliptic curve discrete logarithm problem (ECDLP) in Es(F2161) to a hyperelliptic curve DLP ...
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On Domain Decomposition for Elliptic Systems

Journal of Dynamics and Differential Equations, 2014
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The Oscillation of Elliptic Systems

Mathematische Nachrichten, 1980
Etgen, Garret J., Lewis, Roger T.
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OnBMO regularity for linear elliptic systems

Annali di Matematica Pura ed Applicata (1923 -), 1992
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Elliptic Systems of PDE with BMO-coefficients

Potential Analysis, 2001
We consider the linear elliptic system \[ \text{div}(A(x)Du(x)) = \text{div}F(x) \] in an open set \(\Omega \subset \mathbb R^n\), with \(A(x) = (A_{ij}(x))\) a symmetric, positive definite matrix with measurable coefficients and \(F\) a given matrix field in \(L^p(\Omega, \mathbb R^{n \times n})\). \textit{N. G. Meyers} and \textit{A.
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A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth

SIAM Journal on Mathematical Analysis, 2003
Xinfu Chen, Avner Friedman
exaly