Results 31 to 40 of about 22,884,854 (275)

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

Degenerate Elliptic Systems

Rocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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   +1 more source

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.
core   +1 more source

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, Adler, Adler, Ahn, Bershadsky, Bonelli, Brandhuber, Calogero, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D.H. Phong, Donagi, Eric D'Hoker, Goddard, Gorski, Gorskii, Hanany, Hitchin, Inozemtsev, Inozemtsev, Itoyama, Itoyama, Kac, Kachru, Katz, Katz, Klemm, Krichever, Krichever, Krichever, Landsteiner, Lerche, Lerche, Leznov, Marshakov, Marshakov, Marshakov, Martinec, Matone, McKay, Moser, Nakatsu, Nakatsu, Nam, Olshanetsky, Perelomov, Seiberg, Seiberg, Sonnenschein, Witten   +53 more
core   +4 more sources

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

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., Sun, Shu-Ming, Wahlén, Erik   +2 more
core   +3 more sources

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
doaj   +1 more source

The reduction on the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems

, 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

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.
openaire   +3 more sources