Existence theorems for elliptic Monge-Ampère equations in the plane
Existence theorems for elliptic Monge-Ampère equations in the plane
Two-dimensional Monge-Ampere equations of the form (1) a ;:=: 0 being a constant, are studied in the entire plane R 2 • By application of the Schauder-Tychonov fixed point theorem to an integro-differential operator associated with (1) sufficient conditions are given under which (1) has infinitely many positive radially symmetric …