Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 65, pp. 1-16.

Title: Boundary regularity for strongly degenerate operators of Grushin type
       
Authors: Giuseppe Di Fazio (Univ. di Catania, Catania, Italy)
         Maria Stella Fanciullo (Univ. di Catania, Catania, Italy)
         Piero Zamboni (Univ. di Catania, Catania, Italy)

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.