Convex radial solutions for Monge-Ampère equations involving the gradient.
Math Biosci Eng
; 20(12): 20959-20970, 2023 Nov 21.
Article
in En
| MEDLINE
| ID: mdl-38124583
ABSTRACT
This paper deals with the existence and multiplicity of convex radial solutions for the Monge-Amp$ \grave{\text e} $re equation involving the gradient $ \nabla u $ $ \begin{cases} \det (D^2u) = f(|x|, -u, |\nabla u|), x\in B, \\ u|_{\partial B} = 0, \end{cases} $ where $ B = \{x\in \mathbb R^N |x| < 1\} $. The fixed point index theory is employed in the proofs of the main results.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Math Biosci Eng
Year:
2023
Document type:
Article
Affiliation country:
China