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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Affiliation: | 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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