Giuseppe Di Fazio, Maria Stella Fanciullo, Piero Zamboni
Abstract:
We prove Harnack inequality and global regularity results for weak solutions
of quasilinear degenerate equations driven by operators of Grushin type
with natural growth. Degeneracy is a power of a strong A_infinity weight.
Regularity results are achieved under minimal assumptions on the lower
order coefficients.
Submitted July 6, 2022. Published September 15, 2022.
Math Subject Classifications: 35B65.
Key Words: Harnack inequality; strong A_infinity weights; Stummel-Kato classes; Grushin operator.
DOI: https://doi.org/10.58997/ejde.2022.65
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Giuseppe Di Fazio Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: giuseppedifazio@unict.it |
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Maria Stella Fanciullo Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: fanciullo@dmi.unict.it |
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Piero Zamboni Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: zamboni@dmi.unict.it |
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