Results 51 to 60 of about 22,448,759 (371)
On some nonlinear elliptic systems [PDF]
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Ali Djellit, Saâdia Tas
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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
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Existence results for a class of (p,q) Laplacian systems
. 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
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Elliptic hypergeometric functions associated with root systems
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
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Canonical System on Elliptic Curves [PDF]
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).
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Elliptic systems and numerical transformations
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
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Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria+3 more
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In 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
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Petrovskii elliptic systems in the extended Sobolev scale [PDF]
Petrovskii elliptic systems of linear differential equations given on a closed smooth manifold are investigated in the extended Sobolev scale. This scale consists of all Hilbert spaces that are interpolation spaces with respect to the Hilbert Sobolev ...
T. Zinchenko, A. Murach
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Potential theory for elliptic systems [PDF]
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Chen, Z. Q., Zhao, Z.
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