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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 705-720 |
| Number of pages | 16 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 16 |
| Issue number | 3 |
| State | Published - Nov 2006 |
Keywords
- Boundary value problem
- Fixed index theorem
- Monge-Ampère equation
- Strictly convex solution
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics