A new proof of Harnack's inequality for elliptic partial differential equations in divergence form
Electronic journal of differential equations, Tome 2007 (2007)
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},
     year = {2007},
     volume = {2007},
     zbl = {1162.35332},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a38/}
}
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%A Perini,  Alejandra
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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/