an:01269771
Zbl 0919.35050
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
Irregular solutions of linear degenerate elliptic equations
EN
Potential Anal. 9, No. 3, 201-216 (1998).
00052217
1998
j
35J70
DeGiorgi-Nash theorem; discontinuous solutions; unbounded solutions
Summary: We give examples of discontinuous solutions and of unbounded solutions of linear uniformly elliptic degenerate equations. Discontinuous solutions exist even when both the maximum eigenvalue and the inverse of the minimum eigenvalue of the matrix of the coefficients are in the intersection of all the \(L^p\) spaces.