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We consider the simplest form of a second order, linear, degenerate, elliptic equation with divergence structure in the plane. Under an integrability condition on the degenerate function, we prove that the solutions are continuous.
@article{ASNSP_2007_5_6_1_103_0,
author = {Onninen, Jani and Zhong, Xiao},
title = {Continuity of solutions of linear, degenerate elliptic equations},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {103--116},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 6},
number = {1},
year = {2007},
mrnumber = {2341517},
zbl = {1150.35055},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_103_0/}
}
TY - JOUR AU - Onninen, Jani AU - Zhong, Xiao TI - Continuity of solutions of linear, degenerate elliptic equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2007 SP - 103 EP - 116 VL - 6 IS - 1 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_103_0/ LA - en ID - ASNSP_2007_5_6_1_103_0 ER -
%0 Journal Article %A Onninen, Jani %A Zhong, Xiao %T Continuity of solutions of linear, degenerate elliptic equations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2007 %P 103-116 %V 6 %N 1 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_103_0/ %G en %F ASNSP_2007_5_6_1_103_0
Onninen, Jani; Zhong, Xiao. Continuity of solutions of linear, degenerate elliptic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 1, pp. 103-116. http://geodesic.mathdoc.fr/item/ASNSP_2007_5_6_1_103_0/