2019
Том 71
№ 11

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On nonlinear higher order elliptic systems positive in the first derivatives

Kalita E. A.

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Abstract

Elliptic systems of a divergent type with a natural energy space $W^m_p \bigcap W^l_q$ are considered. Under certain restrictions imposed on the modulus of ellipticity of the lower part of the system, the Hölder property of the generalized solutions to this system and the Liouville theorem are established.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1042-1048.

Citation Example: Kalita E. A. On nonlinear higher order elliptic systems positive in the first derivatives // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 942–947.

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