Solvability of a class of fully nonlinear elliptic equations on tori

Authors :: Fusi, Elia
Publication Year :: 2022
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.<br />Comment: 15 pages, hypothesis of Theorem 1.1 modified. Added some new results in Section 6. To appear in Annali di Matematica Pura ed Applicata