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20202022
most citedHarnack's inequality for quasilinear elliptic equations with generalized Orlicz growth

1 citations · 2 across the 6 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…