Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings [PDF]
, 2016 A bstractWe consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex, i.e.
A. Mironov +4 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
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Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra [PDF]
, 1995 Action-angle type variables for spin generalizations of the elliptic Ruijsenaars-Schneider system are constructed. The equations of motion of these systems are solved in terms of Riemann theta-functions.
Krichever, I., Zabrodin, A.
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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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Coercive elliptic systems with gradient terms
Advances in Nonlinear Analysis, 2017 In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
doaj +1 more source
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
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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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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
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Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems [PDF]
, 2014 For a family of second-order elliptic systems in divergence form with rapidly oscillating almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients.
Zhongwei Shen
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