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Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type
2021
Boundary Value Problems
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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