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

Autor: Limei Dai, Huihui Cheng, Hongfei Li
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Boundary Value Problems, Vol 2021, Iss 1, Pp 1-18 (2021)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-021-01552-3
Popis: 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.
Databáze: Directory of Open Access Journals