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

Boundary Value Problems

Hongfei Li¹  Limei Dai²  Huihui Cheng³ 

[1] College of Mathematics and System Science, Shandong University of Science and Technology;School of Mathematics and Information Science, Weifang University;School of Mathematics and Statistics, North China University of Water Resources and Electric Power;

关键词: Monge–Ampère-type equations;    Hessian equations;    Radial symmetry;   

DOI  :  10.1186/s13661-021-01552-3

来源: DOAJ

【 摘 要 】

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 Hessian equations in bounded domains are considered.

【 授权许可】

Unknown