Abstract
We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 246-252 |
| Number of pages | 7 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 318 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jun 1 2006 |
Keywords
- Convex solutions
- Fixed index theorem
- Monge-Ampère equations
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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