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Morrey Regularity of Nonlinear Elliptic Systems of High Order under Degeneration of Ellipticity

Authors:	Kalita E A

Institution:	(1) Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk

Abstract:	We study nonlinear elliptic systems of the form ${\text{div}}^t A(x,D^s u) = 0$ , even, $x \in \Omega \subset \mathbb{R}^n$ , with the natural energy space . We establish that for solutions from belong to the Morrey space and the Morrey exponent does not tend to zero under the degeneration of ellipticity. In the case , a similar result is obtained under an additional structure condition on the system.

Keywords:	Morrey regularity nonlinear elliptic system degeneration of ellipticity Morrey space Hö lder space
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