Results 41 to 50 of about 170,352 (182)
On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS
Advanced Nonlinear Studies, 2018 In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj +1 more source
, 2016 In this paper, we consider the elliptic collinear solutions of the classical $n$-body problem, where the $n$ bodies always stay on a straight line, and each of them moves on its own elliptic orbit with the same eccentricity.
Long, Yiming, Zhou, Qinglong
core +1 more source
Existence results for a class of (p,q) Laplacian systems
Nonlinear Analysis, 2010 . We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
doaj +1 more source
Elliptic hypergeometric functions associated with root systems
, 2019 We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two form in essence an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integeral ...
Rosengren, Hjalmar, Warnaar, S. Ole
core +1 more source
Canonical System on Elliptic Curves [PDF]
Proceedings of the American Mathematical Society, 1993 We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
openaire +2 more sources
Elliptic systems and numerical transformations
Journal of Mathematical Analysis and Applications, 1978 AbstractProperties of a transformation method which has been developed for solving fluid dynamic problems on general two-dimensional regions are discussed. These include the error in the construction of the transformation and applications to mesh generation. An error and stability analysis for the numerical solution of a model parabolic problem is also
C. Wayne Mastin, Joe F. Thompson
openaire +2 more sources
Electronic Research ArchiveIn this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the well-known Kato class to justify our existence results.
Abdeljabbar Ghanmi +2 more
doaj +1 more source
Potential theory for elliptic systems [PDF]
The Annals of Probability, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Z. Q., Zhao, Z.
openaire +3 more sources
On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation
, 2006 The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J +29 more
core +1 more source
Constructive Solution of Ellipticity Problem for the First Order Differential System
Моделирование и анализ информационных систем, 2017 We built first order elliptic systems with any possible number of unknown functions and the maximum possible number of unknowns, i.e, in general. These systems provide the basis for studying the properties of any first order elliptic systems.
Vladimir E. Balabaev
doaj +1 more source