Geodesic
Stagnation Zones of Solutions to the~Laplace--Beltrami Equation in Long Strips
Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 84-101

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We study the stagnation zones for solutions to the Laplace–Beltrami equation, i.e. the domains ($s$-zones) in which the solutions are close to constants. The estimates for the sizes of $s$-zones in long strips are pointed out for various types of boundary conditions. 
@article{MT_2002_5_1_a5,
     author = {V. M. Miklyukov},
     title = {Stagnation {Zones} of {Solutions} to {the~Laplace--Beltrami} {Equation} in {Long} {Strips}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {84--101},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2002_5_1_a5/}
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V. M. Miklyukov. Stagnation Zones of Solutions to the~Laplace--Beltrami Equation in Long Strips. Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 84-101. http://geodesic.mathdoc.fr/item/MT_2002_5_1_a5/