Quadratic growth solutions of fully nonlinear elliptic equations with periodic data
Abstract
Abstract In this paper, we study quadratic growth solutions of fully nonlinear elliptic equations of the form in , where is periodic and may be not uniformly elliptic. The existence of solutions and Liouville‐type results in the whole space and exterior domains are established, which generalize the classical results when is constant. As applications, the corresponding results are given to ‐Hessian equations, which include the celebrated results for Monge–Ampère equations.
Fields of Study & Subjects
Geometry and complex manifolds
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Publisher
- Wiley
- Volume
- 113
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN