Results 21 to 30 of about 9,572,899 (307)

Einstein-Type Elliptic Systems

open access: yesAnnales Henri Poincaré, 2022
In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically Euclidean (AE) manifolds. In particular, electromagnetic fields give rise to this kind of system.
Rodrigo Avalos, Jorge H. Lira
openaire   +3 more sources

Weyl groups and elliptic solutions of the WDVV equations [PDF]

open access: yes, 2010
A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan, Strachan, I.A.B.
core   +1 more source

Nonlinear elliptic systems

open access: yesAnais da Academia Brasileira de Ciências, 2000
In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
doaj   +1 more source

Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Christoph Ortner   +3 more
core   +1 more source

ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

open access: yesПроблемы анализа, 2019
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
doaj   +1 more source

Global bifurcation of positive solutions for a class of superlinear elliptic systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
We are concerned with the global bifurcation of positive solutions for semilinear elliptic systems of the form \begin{equation*} \begin{cases} -\Delta u=\lambda f(u,v) &\text{in}~\Omega,\\ -\Delta v=\lambda g(u,v) &\text{in}~\Omega,\\
Ruyun Ma, Yan Zhu, Yali Zhang
doaj   +1 more source

Elliptic Systems [PDF]

open access: yes, 2006
In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
openaire   +3 more sources

Elliptic Combinatorics and Markov Processes [PDF]

open access: yes, 2012
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core   +1 more source

Elliptic Hypergeometric Solutions to Elliptic Difference Equations

open access: yes, 2009
It is shown how to define difference equations on particular lattices {x_n}, n in Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable
Alphonse P. Magnus   +2 more
core   +2 more sources

Hardware Accelerators for Elliptic Curve Cryptography [PDF]

open access: yes, 2008
Puttmann C, Shokrollahi J, Porrmann M, Rückert U. Hardware Accelerators for Elliptic Curve Cryptography. Advances in Radio Science. 2008;6:259-264.In this paper we explore different hardware accelerators for cryptography based on elliptic curves ...
U. Rückert   +7 more
core   +2 more sources

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