Convex radial solutions for Monge-Ampère equations involving the gradient

<p>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 $:</p> <p class="disp_formula">$ \begin{cases} \det (D^2u) = f(|x|, -u, |\nabla u|), x\in B, \\ u|_{\p...

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Bibliographic Details
Main Author: Zhilin Yang
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023927?viewType=HTML