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I. Skrypnik, M. Voitovych (2020)
B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditionsNonlinear Analysis
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 of Evolution Equations – Springer 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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