Multiplicity results for fully nonlinear elliptic equations with natural gradient growth

In this paper, we prove a theorem concerning the existence of three solutions for the following boundary value problem: equation* -M, ^+ (D²u) -|Du|²=f (u) ~~~in\, u=0~~~on\, equation* where f: 0, 0, is a C^ function and denotes a bounded, smooth domain in RN. By constructing two ordered pairs of sub and supersolutions for a specific class of f exhibiting sublinear growth, we further establish the existence of three positive solutions to the aforementioned boundary value problem.