Title

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

Journal Title

Discrete and Continuous Dynamical Systems-A

Share

COinS