Harnack Inequality and Smoothness for some Non Linear Degenerate Elliptic Equations

Authors

  • Giuseppe Di Fazio,Maria S. Fanciullo,Pietro Zamboni Author

Keywords:

Harnack inequality, Muckenhoupt weights, degenerate elliptic equations, Stummel Kato classes, Hörmander vector fields.

Abstract

We prove Harnack inequality and smoothness for weak solutions of quasilinear degenerate elliptic equation with respect to a system of non commuting vector fields. In addition, the structure assumptions allow quadratic growth in the gradient.

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Published

2019-01-05

How to Cite

Harnack Inequality and Smoothness for some Non Linear Degenerate Elliptic Equations. (2019). Minimax Theory and Its Applications, 4(1), 87–99. https://journalmta.com/index.php/jmta/article/view/56