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
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/}
}
TY - JOUR AU - Crescimbeni, Raquel AU - Forzani, Liliana AU - Perini, Alejandra TI - A new proof of Harnack's inequality for elliptic partial differential equations in divergence form JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a38/ LA - en ID - EJDE_2007__2007__a38 ER -
%0 Journal Article %A Crescimbeni, Raquel %A Forzani, Liliana %A Perini, Alejandra %T A new proof of Harnack's inequality for elliptic partial differential equations in divergence form %J Electronic journal of differential equations %D 2007 %V 2007 %U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a38/ %G en %F EJDE_2007__2007__a38
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/