Geodesic
On Phragm\'en --- Lindel\"of principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 20 (2017) no. 3, pp. 65-76

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The paper is 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 Phragmén — Lindelöf theorem is proved at junction point of Dirichlet boundary and boundary over which derivative in non-tangential direction is defined.
Keywords: Mixed Boundary Value Problem, Growth Lemma, Phragmén — Lindelöf theorem, Zaremba-type problem.
Mots-clés : elliptic equation in non-divergent form 
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     author = {A. I. Ibragimov and A. I. Nazarov},
     title = {On {Phragm\'en} --- {Lindel\"of}  principle for {Non-divergence} {Type} {Elliptic} {Equations} and  {Mixed} {Boundary} conditions},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
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     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2017_20_3_a5/}
}
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A. I. Ibragimov; A. I. Nazarov. On Phragm\'en --- Lindel\"of  principle for Non-divergence Type Elliptic Equations and  Mixed Boundary conditions. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 20 (2017) no. 3, pp. 65-76. http://geodesic.mathdoc.fr/item/VVGUM_2017_20_3_a5/