Electron. J. Diff. Equ., Vol. 2015 (2015), No. 191, pp. 1-7.

Cordes nonlinear operators in Carnot groups

Giuseppe Di Fazio, Maria Stella Fanciullo

Abstract:
Our aim is to obtain L^p estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups.

Submitted April 8, 2015. Published July 20, 2015.
Math Subject Classifications: 35H20.
Key Words: Cordes condition; Carnot groups; nonlinear equations.

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Giuseppe Di Fazio
Dipartimento di Matematica e Informatica
Universitá di Catania
Viale A. Doria 6, 95125, Catania, Italy
email: difazio@dmi.unict.it
Maria Stella Fanciullo
Dipartimento di Matematica e Informatica
Universitá di Catania
Viale A. Doria 6, 95125, Catania, Italy
email: fanciullo@dmi.unict.it

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