Results 11 to 20 of about 13,018 (169)
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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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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Advances in Nonlinear Analysis, 2022 In this article, we study a Hardy-Sobolev critical elliptic system involving coupled perturbation terms: (0.1)−Δu+V1(x)u=η1η1+η2∣u∣η1−2u∣v∣η2∣x′∣+αα+βQ(x)∣u∣α−2u∣v∣β,−Δv+V2(x)v=η2η1+η2∣v∣η2−2v∣u∣η1∣x′∣+βα+βQ(x)∣v∣β−2v∣u∣α,\left\{\begin{array}{c}-\Delta u+
Wang Lu Shun, Yang Tao, Yang Xiao Long
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
Advanced Nonlinear Studies, 2020 We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano +2 more
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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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Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains
Journal of Taibah University for Science, 2019 In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed.
G. M. Bahaa, S. Khidr
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Zhejiang Daxue xuebao. Lixue ban, 2014 Based on the construction of certain upper and sub-solutions, the boundary behavior of positive boundary blow-up solutions to elliptic systems are obtained， here the singular weight functions b1(x),b2(x) are permitted to be bounded in some parts of the ...
LIXiaoqin(李晓琴) +2 more
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Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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Duality in elliptic Ruijsenaars system and elliptic symmetric functions
European Physical Journal C: Particles and Fields, 2021 We demonstrate that the symmetric elliptic polynomials $$E_\lambda (x)$$ E λ ( x ) originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the ...
A. Mironov, A. Morozov, Y. Zenkevich
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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit Journal of Pure Science, 2022 In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
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