Boundary regularity for strongly degenerate operators of Grushin type

Date

2022-09-15

Authors

Di Fazio, Giuseppe
Fanciullo, Maria
Zamboni, Piero

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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∞ weight. Regularity results are achieved under minimal assumptions on the lower order coefficients.

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Keywords

Harnack inequality, Strong A infinity weights, Stummel-Kato classes, Grushin operator

Citation

Di Fazio, G., Fanciullo, M., & Zamboni, P. (2022). Boundary regularity for strongly degenerate operators of Grushin type. <i>Electronic Journal of Differential Equations, 2022</i>(65), pp. 1-16.

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Attribution 4.0 International

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