23 citations · 28 across the 13 of their papers we have counts for
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math.AP2020
Interior continuity, continuity up to the boundary and Harnack's inequality for double-phase elliptic equations with non-logarithmic conditions
Oleksandr V. Hadzhy, Igor I. Skrypnik, Mykhailo V. Voitovych
We prove continuity and Harnack's inequality for bounded solutions to elliptic equations of the type $$ \begin{aligned} {\rm div}\big(|\nabla u|^{p-2}\,\nabla u+a(x)|\nabla u|^{q-2…
math.AP2020★ 1 cited
Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth
M. A. Shan, I. I. Skrypnik, M. V. Voitovych
We prove Harnack's inequality for bounded weak solutions to quasilinear second order elliptic equations with generalized Orlicz growth conditions. Our approach covers new cases of…
math.AP2020
classes of DeGiorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions
Igor I. Skrypnik, Mykhailo V. Voitovych
We introduce elliptic and parabolic classes that generalize the well-known classes of DeGiorgi, Ladyzhenskaya and Ural'tseva with . New cl…