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Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition

Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the... For a general class of divergence type quasi-linear singular parabolic equations with generalized Orlicz growth, we prove the intrinsic Harnack inequality for positive solutions. This class of singular equations includes new cases of equations with (p, q) nonlinearity and non-logarithmic growth. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition

Journal of Evolution Equations , Volume 22 (2) – Jun 1, 2022

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References (51)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-022-00794-7
Publisher site
See Article on Publisher Site

Abstract

For a general class of divergence type quasi-linear singular parabolic equations with generalized Orlicz growth, we prove the intrinsic Harnack inequality for positive solutions. This class of singular equations includes new cases of equations with (p, q) nonlinearity and non-logarithmic growth.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 1, 2022

Keywords: A priori estimates; Singular parabolic equations; Generalized Orlicz growth; Harnack’s inequality; 35B40; 35B45; 35J62; 35K59

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