Results 41 to 50 of about 22,597,145 (371)
Calogero-Moser Lax Pairs with Spectral Parameter for General Lie Algebras [PDF]
, 1998 We construct a Lax pair with spectral parameter for the elliptic Calogero-Moser Hamiltonian systems associated with each of the finite dimensional Lie algebras, of the classical and of the exceptional type.
Adler +53 more
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On Coron's problem for weakly coupled elliptic systems [PDF]
, 2016 We consider the following critical weakly coupled elliptic system −Δui=μi|ui|2∗−2ui+∑j≠iβij|uj|2∗2|ui|2∗−42uiinΩεui=0on∂Ωε,i=1,⋯,m,in a domain Ωε⊂RN , N=3,4 , with small shrinking holes as the parameter ε→0 .
A. Pistoia, Nicola Soave
semanticscholar +1 more source
Noncooperative elliptic systems [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2010 We show how monotonicity methods combined with infinite dimensional sandwich pairs can be used to solve very general systems of equations that are not semibounded.
openaire +2 more sources
New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
, 2016 Integrable N-particle systems have an important property that the associated Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not apply to the most interesting class of elliptic and double-elliptic systems.
Aminov, G., Mironov, A., Morozov, A.
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Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations [PDF]
, 2016 We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which have the profile of the line soliton in the longitudinal spatial direction
Groves, Mark D. +2 more
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Wellposedness for a parabolic-elliptic system [PDF]
Discrete & Continuous Dynamical Systems - A, 2005 The authors study a system that constitutes a generalized and regularized Camassa-Holm equation, that is \[ \begin{aligned} &u_t+ (f(t,x,u))_x+ g(t,x,u)+ P_x= (a(t,x)u_x)_x,\\ &-P_{xx}+P= h(t,x,u,u_x)+ \kappa(t,x,u), \quad u|_{t=0}= u_0(x), \end{aligned} \tag{1} \] on the domain \((t,x)\in Q_T:= [0,t]\times \mathbb R\). The authors address the question
COCLITE, Giuseppe Maria +2 more
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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
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A global characteristic of g‐limit operators for quasilinear potential elliptic systems
Mathematical Modelling and Analysis, 2002 The paper considers a family of quasilinear potential elliptic systems and uses the fact that all G‐limit operators for this family can be characterized by means of gradients of convex functions F (locally with respect to the spatial co‐ordinates). It is
U. Raitums
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
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On some nonlinear elliptic systems [PDF]
Nonlinear Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Djellit, Saâdia Tas
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