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Solvability of a class of fully nonlinear elliptic equations on tori

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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.

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Acknowledgements

The author is very grateful to Professor Luigi Vezzoni for his supervision and support during the work. Many thanks are also due to Giovanni Gentili and Federico Giusti for stimulating discussions and suggestions. The author is supported by GNSAGA of INdAM.

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  1. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, Via Carlo Alberto 10, 10123, Torino, Italy

    Elia Fusi

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  1. Elia Fusi
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Fusi, E. Solvability of a class of fully nonlinear elliptic equations on tori. Annali di Matematica 202, 2841–2859 (2023). https://doi.org/10.1007/s10231-023-01342-x

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