Results 11 to 20 of about 178,189 (280)

Critical chirality in elliptic systems [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021
We establish the regularity in 2 dimension of L^{2} solutions to critical elliptic systems in divergence form involving chirality operators of finite W^{1,2} -energy.
Da Lio, Francesca, Rivière, Tristan
openaire   +2 more sources

Hamiltonian dynamics and spectral theory for spin-oscillators [PDF]

, 2010
We study the Hamiltonian dynamics and spectral theory of spin-oscillators. Because of their rich structure, spin-oscillators display fairly general properties of integrable systems with two degrees of freedom.
H.J. Groenewold, J. Williamson, J.E. Moyal, J.J. Duistermaat, J.J. Duistermaat, L. Boutetde Monvel, L. Charles, M. Dimassi, M. Garay, M. Gross, M.F. Atiyah, N.C. Leung, N.T. Zung, R. Cushman, S. Vũ Ngoc, S. Vũ Ngoc, S. Vũ Ngoc, San Vũ Ngọc, T. Delzant, V. Bargmann, V. Guillemin, Á. Pelayo, Á. Pelayo, Á. Pelayo, Álvaro Pelayo   +24 more
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ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS

Проблемы анализа, 2019
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
doaj   +1 more source

Rarefied elliptic hypergeometric functions [PDF]

, 2018
Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
core   +3 more sources

Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos

Entropy, 2022
We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
doaj   +1 more source

Global bifurcation of positive solutions for a class of superlinear elliptic systems

Electronic Journal of Qualitative Theory of Differential Equations, 2023
We are concerned with the global bifurcation of positive solutions for semilinear elliptic systems of the form \begin{equation*} \begin{cases} -\Delta u=\lambda f(u,v) &\text{in}~\Omega,\\ -\Delta v=\lambda g(u,v) &\text{in}~\Omega,\\
Ruyun Ma, Yan Zhu, Yali Zhang
doaj   +1 more source

Elliptic Systems [PDF]

, 2006
In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
openaire   +3 more sources

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

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.
core   +2 more sources