Results 11 to 20 of about 15,655 (214)
Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
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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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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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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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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.
Francesca Da Lio, Tristan Rivière
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Degenerate Elliptic Systems [PDF]
Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a semilinear elliptic system
Differential and Integral Equations, 1995 The authors consider a Dirichlet problem for the elliptic system \[ - \Delta v= H_u(u, v),\;-\Delta u= H_v(u, v)\tag{\(*\)} \] in some bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary. The growth conditions on \(H\) are \(|H_u(u, v)|\leq C(1+ |u|^p+ |v|^{(q+ 1){p\over p+ 1}})\), \(|H_v(u, v)|\leq C(1+ |v|^q+ |u|^{(p+ 1){q\over q+ 1}})\
Clément, Ph. +1 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.
Djairo G. de Figueiredo +1 more
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An elliptic system with logarithmic nonlinearity [PDF]
Advances in Nonlinear Analysis, 2017 Abstract In the present paper, we study the existence of solutions for some classes of singular systems involving the Δ p
Moussaoui Abdelkrim +2 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
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