paper

Solvability of a class of fully nonlinear elliptic equations on tori

arXiv:2205.04427

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.

arXiv comment15 pages, hypothesis of Theorem 1.1 modified. Added some new results in Section 6. To appear in Annali di Matematica Pura ed Applicata