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arXiv · 1707.03913

On Phragm\'en-Lindel\"of principle for Non-divergence Type Elliptic Equation and Mixed Boundary conditions

Akif Ibraguimov·Alexander I. Nazarov
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Abstract

Paper dedicated to qualitative study of the solution of the Zaremba type problem in Lipschitz domain with respect to the elliptic equation in non-divergent form. Main result is Landis type Growth Lemma in spherical layer for Mixed Boundary Value Problem in the class of "admissible domain". Based on the Growth Lemma Phragm\'en-Lindel\"of theorem is proved at junction point of Dirichlet boundary and boundary over which derivative in non-tangential direction is defined.

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Akif Ibraguimov, Alexander I. Nazarov. 2017-07-12. On Phragm\'en-Lindel\"of principle for Non-divergence Type Elliptic Equation and Mixed Boundary conditions. https://arxiv.org/abs/1707.03913

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