We prove Harnack inequality and global regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong A∞ weight. Regularity results are achieved under minimal assumptions on the coefficients.
Boundary Harnack Type Inequality and Regularity for Quasilinear Degenerate Elliptic Equations
Di Fazio Giuseppe;Fanciullo Maria;Zamboni Pietro
2021-01-01
Abstract
We prove Harnack inequality and global regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong A∞ weight. Regularity results are achieved under minimal assumptions on the coefficients.File in questo prodotto:
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