Solvability of a class of fully nonlinear elliptic equations on tori
Analysis of PDEs
2023-05-09 v2 Differential Geometry
Abstract
We study the solvability of a class of fully nonlinear equations on the flat torus. The equations arise in the study of some Calabi-Yau type problems in torus bundles.
Keywords
Cite
@article{arxiv.2205.04427,
title = {Solvability of a class of fully nonlinear elliptic equations on tori},
author = {Elia Fusi},
journal= {arXiv preprint arXiv:2205.04427},
year = {2023}
}
Comments
15 pages, hypothesis of Theorem 1.1 modified. Added some new results in Section 6. To appear in Annali di Matematica Pura ed Applicata