Positive convex solutions of boundary value problems arising from Monge–Ampère equations

Ruyun Ma and Hongliang Gao

Applied Mathematics and Computation, 2015, vol. 259, issue C, 390-402

Abstract: We establish several criteria for the existence and multiplicity of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge–Ampère equations. The results are sharp. The proof of the main result is based upon the bifurcation techniques.

Keywords: Convex solutions; Monge–Ampère equations; Bifurcations (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:390-402

DOI: 10.1016/j.amc.2015.03.005

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