1 citations · 1 across the 3 of their papers we have counts for
3 papers
On asymptotic behavior of solutions to non-uniformly elliptic equations with generalized Orlicz growth
O. V. Hadzhy, M. O. Savchenko, I. I. Skrypnik +1
We study asymptotic behavior of sub-solutions to non-uniformly elliptic equations with nonstandard growth. In particular, Harnack type inequalities are proved. Our approach gives n…
Continuity at a boundary point of solutions to quasilinear elliptic equations with generalized Orlicz growth and non-logarithmic conditions
Oleksandr V. Hadzhy, Mykhailo V. Voitovych
We consider the Dirichlet problem for quasilinear elliptic equations with Musielak-Orlicz (p,q)-growth and non-logarithmic conditions on the coefficients. A sufficient Wiener-type…
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…