Geodesic
A new proof of Harnack's inequality for elliptic partial differential equations in divergence form
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35B65, 35B45
Keywords: elliptic equations, divergence form, weak solutions, Harnack inequality, holder continuity 
@article{EJDE_2007__2007__a38,
     author = {Crescimbeni, Raquel and Forzani, Liliana and Perini, Alejandra},
     title = {A new proof of {Harnack's} inequality for elliptic partial differential equations in divergence form},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a38/}
}
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Crescimbeni, Raquel; Forzani, Liliana; Perini, Alejandra. A new proof of Harnack's inequality for elliptic partial differential equations in divergence form. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a38/