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

Limei Dai, Huihui Cheng, Hongfei Li
2021 Boundary Value Problems  
AbstractFirst, 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.
doi:10.1186/s13661-021-01552-3 fatcat:dyzvnjvrm5ewzkeqxfvp33ny7a