Electron. J. Diff. Eqns., Vol. 2007(2007), No. 38, pp. 1-12.

A new proof of Harnack's inequality for elliptic partial differential equations in divergence form

Raquel Crescimbeni, Liliana Forzani, Alejandra Perini

Abstract:
In this paper we give a new proof of Harnack's inequality for elliptic operator in divergence form. We imitate the proof given by Caffarelli for operators in nondivergence form.

Submitted January 9, 2006. Published March 1, 2007.
Math Subject Classifications: 35B65, 35B45
Key Words: Elliptic equations; divergence form; weak solutions; Harnack inequality; Holder continuity.

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Raquel Crescimbeni
Departmento de Matemática
Universidad Nacional del Comahue
Neuquén (8300), Argentina
email: rcrescim@uncoma.edu.ar
Liliana Forzani
Departmento de Matemática
Universidad Nacional del Litoral
Santa Fe (3000), Argentina
email: liliana.forzani@gmail.com
Alejandra Perini
Departmento de Matemática
Universidad Nacional del Comahue
Neuquén (8300), Argentina
email:alejandraperini@gmail.com   aperini@uncoma.edu.ar

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