Results 1 to 10 of about 12,696 (269)
Existence and asymptotic behavior of positive continuous solutions for a nonlinear elliptic system in the half space [PDF]
Opuscula Mathematica, 2012 This paper deals with the existence and the asymptotic behavior of positive continuous solutions of the nonlinear elliptic system \(\Delta u=p(x)u^{\alpha}v^r\), \(\Delta v = q(x)u^s v^{\beta}\), in the half space \(\mathbb{R}^n_+ :=\{x=(x_1,..., x_n)\in
Sameh Turki
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Einstein-Type Elliptic Systems
Annales Henri Poincaré, 2022 In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with realistic physical fields on asymptotically Euclidean (AE) manifolds. In particular, electromagnetic fields give rise to this kind of system.
Rodrigo Avalos, Jorge H. Lira
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О разрешимости некоторых операторов с несколькими подвижными и неподвижными особенностями
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 В работе рассматриваются двумерные сингулярные интегральные операторы по ограниченной области с коэффициентами при интегралах, содержащими в нескольких точках существенный разрыв и операторы с ядрами, имеющими в нескольких точках фиксированные ...
Одинабеков, Д.М.
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Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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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 (
de Figueiredo, Djairo G. +1 more
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Symmetric results of a Hénon-type elliptic system with coupled linear part
Open Mathematics, 2022 In this article, we study the elliptic system: −Δu+μ1u=∣x∣αu3+λv,x∈Ω−Δv+μ2v=∣x∣αv3+λu,x∈Ωu,v>0,x∈Ω,u=v=0,x∈∂Ω,\left\{\begin{array}{ll}-\Delta u+{\mu }_{1}u=| x\hspace{-0.25em}{| }^{\alpha }{u}^{3}+\lambda v,& x\in \Omega \\ -\Delta v+{\mu }_{2}v=| x ...
Lou Zhenluo, Li Huimin, Zhang Ping
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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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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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Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established.
Huixing Zhang
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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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