We prove that positive and bounded weak solutions of a strongly degenerate elliptic equation satisfy the Harnack inequality. The structure of the differential operator includes a nonlinear term in the gradient with quadratic growth. Moreover, the lower order terms belong to some Stummel classes defined in term of sum operators introduced in [13]
Harnack inequality for strongly degenerate elliptic operators with natural growth
Di Fazio Giuseppe;Fanciullo Maria;Zamboni PIetro
2018-01-01
Abstract
We prove that positive and bounded weak solutions of a strongly degenerate elliptic equation satisfy the Harnack inequality. The structure of the differential operator includes a nonlinear term in the gradient with quadratic growth. Moreover, the lower order terms belong to some Stummel classes defined in term of sum operators introduced in [13]File in questo prodotto:
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