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 non-logarithmic Zhikov’s condition

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....

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Veröffentlicht in:Journal of evolution equations 2022-06, Vol.22 (2), Article 45
1. Verfasser: Skrypnik, Igor I.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Divergence
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-022-00794-7