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Preconditioning for Regular Elliptic Systems [PDF]
SIAM Journal on Numerical Analysis, 1999 The authors examine preconditioning operators for regular elliptic systems of partial differential operators. They obtain general conditions under which the preconditioned systems are bounded. Some useful guidelines for choosing left and right preconditioning operators for regular elliptic systems also are provided.
Chen, Hsing-Hsia, Strikwerda, John C.
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Elliptic Flow, Initial Eccentricity and Elliptic Flow fluctuations in Heavy Ion Collisions at RHIC [PDF]
, 2007 We present measurements of elliptic flow and event-by-event fluctuations established by the PHOBOS experiment. Elliptic flow scaled by participant eccentricity is found to be similar for both systems when collisions with the same number of participants ...
Alver, B. +5 more
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Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance
Boundary Value Problems, 2017 Multiple solutions for a class of superquadratic elliptic systems near resonance with high eigenvalues are obtained by using the nabla theorem due to Marino and Saccon in (Topol. Methods Nonlinear Anal. 17:213-237, 2001) and the linking theorem.
Ying Lv, Zeng-Qi Ou, Chun Li
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Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elliptic Root System and Elliptic Artin Group
Publications of the Research Institute for Mathematical Sciences, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
, 2001 We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras.
Braden, H. +3 more
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Nonvariational elliptic systems
Discrete & Continuous Dynamical Systems - A, 2002 The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Alves, Claudianor O. +1 more
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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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Existence and multiplicity of solutions for a class of superlinear elliptic systems
Advances in Nonlinear Analysis, 2018 In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
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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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