Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth
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Date
2021-04-07
Authors
Shan, Maria A.
Skrypnik, Igor I.
Voitovych, Mykhailo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Elliptic equation, Non-standard growth, Non-log condition, Bounded solution, Harnack inequality
Citation
Shan, M. A., Skrypnik, I. I., & Voitovych, M. V. (2021). Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth. <i>Electronic Journal of Differential Equations, 2021</i>(27), pp. 1-16.
Rights
Attribution 4.0 International