Harnack inequality and regularity for degenerate quasilinear elliptic equations |
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Authors: | G Di Fazio M S Fanciullo P Zamboni |
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Institution: | 1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy
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Abstract: | We prove Harnack inequality and local 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 and, as an application, we prove C
1,α
local estimates for solutions of a degenerate equation in non divergence form. |
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Keywords: | |
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