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- Title
Dirichlet problem for Krylov type equation in conformal geometry.
- Authors
Liu, Xinying; Sheng, Weimin
- Abstract
In this paper, we study a class of nonlinear elliptic equations in the Krylov type, which can be viewed as a generalization of the Hessian equation for Schouten tensor. After a conformal change, we considered the Dirichlet problem for a modified Schouten tensor in the smooth closed Riemannian manifold with smooth boundary. A unique k-admissible solution can be assured under some suitable settings.
- Subjects
DIRICHLET problem; CONFORMAL geometry; NONLINEAR equations; ELLIPTIC equations; RIEMANNIAN manifolds; KRYLOV subspace
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-024-02665-0