Results 11 to 20 of about 22,885,588 (357)
COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Lange, Herbert, Newstead, P. E.
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Communication Aspects for a Measurement Based UWB in-Body to on-Body Channel
IEEE Access, 2019 A wireless capsule endoscopy (WCE) is a good option for the screening of the digestive system. To better facilitate detection of diseases at an early stage, gastroenterologists seek both higher frame rate and frame resolution than what is offered in the ...
Pal Anders Floor +5 more
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On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth [PDF]
Archive for Rational Mechanics and Analysis, 2016 We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic radial structure, then the solution can in fact be ...
Lisa Beck +3 more
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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
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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
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Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems [PDF]
, 2016 We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems. We introduce structural asymptotic assumptions of Uhlenbeck type on the nonlinearity, which are sufficient ...
Miroslav Bul'ivcek +2 more
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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
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Fundamental matrices and Green matrices for non-homogeneous elliptic systems [PDF]
Publicacions matemàtiques, 2016 In this paper, we establish existence, uniqueness, and scale-invariant estimates for fundamental solutions of non-homogeneous second order elliptic systems with bounded measurable coefficients in $\mathbb{R}^n$ and for the corresponding Green functions ...
Blair Davey, Jonathan Hill, S. Mayboroda
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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
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, 2006 In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
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