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Nonlinear Elliptic Systems

2012
We present a maximum principle of W. Jager for the H-surface system in Section 1. Then we prove the fundamental gradient estimate of E. Heinz for nonlinear elliptic systems of differential equations in Section 2. Global estimates are established in Section 3.
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On symmetry in elliptic systems

Applicable Analysis, 1991
We prove symmetry of positive solutions of quasimonotone elliptic systems. We show by counterexamples that quasimonotonicity of the systems and positivity of solutions are necessary for solutions to be symmetric. We consider solutions in both bounded domains and in the entire space.
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The Oscillation of Elliptic Systems

Mathematische Nachrichten, 1980
Garret J. Etgen   +2 more
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Efficient Solutions of Elliptic Systems.

Mathematics of Computation, 1984
Wolfgang Hackbusch, Claes Johnson
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Elliptic Systems with Various Growth [PDF]

open access: possible, 2020
BOCCARDO, Lucio   +2 more
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