Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type

Abstract First, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and nonexistence of radial solutions in a ball are got from the symmetry results. Finally, the existence and nonexistence of classical solutions to Hessi...

Full description

Bibliographic Details
Main Authors: Limei Dai, Huihui Cheng, Hongfei Li
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01552-3