Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
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].
Published September 15, 2018.
Math Subject Classifications: 35B45, 35B65.
Key Words: Harnack inequality, Stummel class.
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Giuseppe Di Fazio Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: giuseppedifazio@unict.it |
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Maria Stella Fanciullo Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: fanciullo@dmi.unict.it |
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Pietro Zamboni Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: zamboni@dmi.unict.it |
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