The aim of this paper is to present several properties of the nonnegative weak solutions to a class of very singular doubly nonlinear equations Namely, we prove L infty loc estimates and Harnack estimates. Note that 3 − p = m + p is a critical value: under this threshold the energy estimates hold with a reverse sign.
Regularity results for a class of doubly nonlinear very singular parabolic equations / S. Fornaro, E. Henriques, , V. Vespri. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - (2021), pp. 1-30. [10.1016/j.na.2020.112213]
Regularity results for a class of doubly nonlinear very singular parabolic equations
V. Vespri
2021
Abstract
The aim of this paper is to present several properties of the nonnegative weak solutions to a class of very singular doubly nonlinear equations Namely, we prove L infty loc estimates and Harnack estimates. Note that 3 − p = m + p is a critical value: under this threshold the energy estimates hold with a reverse sign.
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