We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinearparabolic operators, whose prototype is the anisotropicTrudinger’s equation. We prove a parabolic Harnack inequality, valid without any restrictions on the exponents 𝑝𝑖 s. When the range of diffusion exponents is restricted, solutions areHölder continuous
Ciani, S., Henriques, E., Savchenko, M.O., Skrypnik, I.I. (2026). Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 114(1), 1-32 [10.1112/jlms.70643].
Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation
Ciani, S.
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2026
Abstract
We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinearparabolic operators, whose prototype is the anisotropicTrudinger’s equation. We prove a parabolic Harnack inequality, valid without any restrictions on the exponents 𝑝𝑖 s. When the range of diffusion exponents is restricted, solutions areHölder continuousFile in questo prodotto:
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