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math.CV2022
On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation
Miodrag Mateljević, Nikola Mutavdžić
We solve the Dirichlet problem for hyperbolic Poisson's equation where and is a measure that sati…
math.CV2022
Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings
Miodrag Mateljević, Ruslan Salimov, Evgeny Sevost'Yanov
In this article, we consider the Hölder continuity of injective maps in Orlicz-Sobolev classes defined on the unit ball. Under certain conditions on the growth of dilatations, we o…