Results 11 to 20 of about 22,597,145 (371)
Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
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An elliptic system with degenerate coercivity [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2015 We study the existence of solutions of a class of degererate elliptic systems.
Lucio Boccardo +2 more
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Nonhomogeneous elliptic systems and scattering [PDF]
Tohoku Mathematical Journal, 1975 Martin Schechter
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On superquadratic elliptic systems [PDF]
Transactions of the American Mathematical Society, 1994 In this article we study the existence of solutions for the elliptic system \[ − Δ u = ∂ H ∂ v (
Djairo G. de Figueiredo, Patricio Felmer
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An Elliptic Garnier System [PDF]
Communications in Mathematical Physics, 2017 We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $4m+12$ points for $m \geq 1$, which appear in pairs due to a symmetry condition. We parameterize this linear system in terms a set of kernels at the singular points.
Ormerod, Chris M., Rains, Eric M.
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Duality in elliptic Ruijsenaars system and elliptic symmetric functions [PDF]
The European Physical Journal C, 2021 AbstractWe demonstrate that the symmetric elliptic polynomials$$E_\lambda (x)$$Eλ(x)originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the mother function variable$$y_i$$yi(substitute of the Young-diagram variable$$\lambda $$λ).
Yegor Zenkevich +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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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.
Herbert Lange, Peter E. Newstead
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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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Eigenvalues of an elliptic system [PDF]
Mathematische Zeitschrift, 2003 We describe the spectrum of a non-self-adjoint elliptic system on a finite interval. Under certain conditions we find that the eigenvalues form a discrete set and converge asymptotically at infinity to one of several straight lines. The eigenfunctions need not generate a basis of the relevant Hilbert space, and the larger eigenvalues are extremely ...
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