Convex solutions of boundary value problems arising from monge-ampère equations
In this paper we study an eigenvalue boundary value problem which arises when seeking radial convex solutions of the Monge-Ampère equations. We shall establish several criteria for the existence, multiplicity and nonexistence of strictly convex solutions for the boundary value problem with or without an eigenvalue parameter.
Boundary value problem, Fixed index theorem, Monge-Ampère equation, Strictly convex solution
Hu, Shouchuan, and Haiyan Wang. "Convex solutions of boundary value problem arising from Monge-Ampère equations." Discrete & Continuous Dynamical Systems-A 16, no. 3 (2006): 705.
Discrete and Continuous Dynamical Systems-A