Convex solutions of boundary value problems arising from monge-ampère equations
Abstract
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.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.3934/dcds.2006.16.705
Keywords
Boundary value problem, Fixed index theorem, Monge-Ampère equation, Strictly convex solution
Publication Date
11-1-2006
Recommended Citation
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.
Journal Title
Discrete and Continuous Dynamical Systems-A
COinS
