This talk is based on joint work with
Patricio Felmer (Universidad de Chile) and
we study the elliptic equation on the one-dimensional whole space,
which has the Pucci operators, the power-type nonlinearity
and potential function.
This equation is a generalized version of the well-known
semilinear elliptic problem and
we show the existence (or nonexistence) of positive solutions
under some conditions on the potential function.
http://cvgmt.sns.it/seminar/470/