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Boundary regularity for strongly degenerate operators of Grushin type

Boundary regularity for strongly degenerate operators of Grushin type

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.