12 citations · 15 across the 5 of their papers we have counts for
5 papers
Wiman and Arima theorems for quasiregular mappings
Olli Martio, Vladimir M. Miklyukov, Matti K. Vuorinen
Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.
Denjoy-Ahlfors Theorem for Harmonic Functions on Riemannian Manifolds and External Structure of Minimal Surfaces
Vladimir M. Miklyukov, Vladimir G. Tkachev
We extend the well-known Denjoy-Ahlfors theorem on the number of different asymptotic tracts of holomorphic functions to subharmonic functions on arbitrary Riemannian manifolds. We…
Stagnation zones for -harmonic functions on canonical domains
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
We study stagnation zones of -harmonic functions on canonical domains in the Euclidean -dimensional space. Phragmen-Lindelöf type theorems are proved.
On quasiplanes in Euclidean spaces
Olli Martio, Vladimir M. Miklyukov, Matti Vuorinen
A variational inequality for the images of -dimensional hyperplanes under quasiconformal maps of the -dimensional Euclidean space is proved when
Three spheres theorem for p-harmonic functions
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
Three spheres type theorem is proved for the p-harmonic functions defined on the complement of k-balls in the Euclidean n-dimensional space.