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In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
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Einstein-Type Elliptic Systems
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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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
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We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
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TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS [PDF]
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
Najman, Filip, Filip Najman
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Good Systems Network Meeting [PDF]
You're viewing a past event from the Good Systems Grand Challenge team at The University of Texas at Austin that contains two presentations from May 19, 2020.Office of the VP for ...
Good Systems
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Elliptic Root System and Elliptic Artin Group
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance
Multiple solutions for a class of superquadratic elliptic systems near resonance with high eigenvalues are obtained by using the nabla theorem due to Marino and Saccon in (Topol. Methods Nonlinear Anal. 17:213-237, 2001) and the linking theorem.
Ying Lv, Zeng-Qi Ou, Chun Li
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On etudie des systemes elliptiques k×k d'operateurs differentiels dans R n qui peuvent s'ecrire sous la forme A=A∞+Q ou A∞ est un systeme elliptique d'operateurs a coefficients constants et Q est une perturbation a coefficient variable avec certaines proprietes de decroissance a |x|=∞
Lockhart, Robert B., McOwen, Robert C.
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