Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian
Chiara Guidi, Vittorio Martino, Annamaria Montanari
TL;DR
This paper establishes the existence of nonsmooth viscosity solutions for Dirichlet problems involving elementary symmetric functions of the complex Hessian's eigenvalues, advancing understanding in complex differential equations.
Contribution
It proves the existence of nonsmooth viscosity solutions for a class of complex Hessian equations, a novel result in the field.
Findings
Existence of nonsmooth viscosity solutions proven
Addresses Dirichlet problems with complex Hessian functions
Contributes to complex differential equations theory
Abstract
In this paper we prove the existence of nonsmooth viscosity solutions for Dirichlet problems involving elementary symmetric functions of the eigenvalues of the complex Hessian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations