$%P. Lindqvist and J. Manfredi, Note on
-superharmonic functions,
Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 472–480.%$
Full paper in PDF:
$%P. Lindqvist and J. Manfredi, Note on
-superharmonic functions,
Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 472–480.%$
-Superharmonic Functions
Department of Mathematics The University of Texas at Austin Austin, TX 78712 — USA | Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260 — USA |
The purpose of this note is to show that all viscosity supersolutions of
are variational. That is, they are limits of
-superharmonic functions, induced
by the operator
as
approaches
. In addition, it is shown that each viscosity supersolution
of
is Lipschitz continuous.
1991 Mathematics Subject Classification: 35J70, 26A16.