Electronic Journal of Differential Equations, 
Vol. 2021 (2021), No. 27, pp. 1-16.

Title: Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth
       
Authors: Maria A. Shan    (National Academy of Sciences, Sloviansk, Ukraine)
         Igor I. Skrypnik (National Academy of Sciences, Sloviansk, Ukraine)
         Mykhailo V. Voitovych (National Academy of Sciences, Sloviansk, Ukraine)

Abstract:
 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 variable exponent and (p,q) growth conditions.

Submitted September 7, 2020. Published April 07, 2021.
Math Subject Classifications: 35B65, 35D30, 35J60, 49N60.
Key Words: Elliptic equation; non-standard growth; non-log condition;
           bounded solution; Harnack inequality.