Nonlinear Dirichlet forms, energy spaces, and calculus rules

Brigati, Giovanni

Nonlinear Dirichlet forms, energy spaces, and calculus rules

Brigati G. 2026. Nonlinear Dirichlet forms, energy spaces, and calculus rules. La Matematica. 5(2), 33.

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2026_LaMathematica_Brigati.pdf 394.08 KB [Published Version]

DOI

10.1007/s44007-026-00217-w

Journal Article | Published | English

Scopus indexed

Author

Brigati, Giovanni^ISTA

Corresponding author has ISTA affiliation

Department

Maas Group

Abstract

I review recent contributions on nonlinear Dirichlet forms. Then, I specialise to the case of 2- homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, I establish new properties of such nonlinear Dirichlet forms, which are reminiscent of differential calculus formulae.

Publishing Year

2026

Date Published

2026-04-29

Journal Title

La Matematica

Publisher

Springer Nature

Acknowledgement

I am thankful to G. Savaré, for introducing me to the study of nonlinear Dirichlet forms and metric measure spaces, and to D. Manini for stimulating discussions. Open access funding provided by Institute of Science and Technology (IST Austria). The author has been funded by the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No 754362. Partial support has been obtained from the EFI ANR-17-CE40-0030 Project of the French National Research Agency.

Volume

Issue

Article Number

eISSN

2730-9657

IST-REx-ID

21881

Cite this

Brigati G. Nonlinear Dirichlet forms, energy spaces, and calculus rules. La Matematica. 2026;5(2). doi:10.1007/s44007-026-00217-w

Brigati, G. (2026). Nonlinear Dirichlet forms, energy spaces, and calculus rules. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-026-00217-w

Brigati, Giovanni. “Nonlinear Dirichlet Forms, Energy Spaces, and Calculus Rules.” La Matematica. Springer Nature, 2026. https://doi.org/10.1007/s44007-026-00217-w.

G. Brigati, “Nonlinear Dirichlet forms, energy spaces, and calculus rules,” La Matematica, vol. 5, no. 2. Springer Nature, 2026.

Brigati G. 2026. Nonlinear Dirichlet forms, energy spaces, and calculus rules. La Matematica. 5(2), 33.

Brigati, Giovanni. “Nonlinear Dirichlet Forms, Energy Spaces, and Calculus Rules.” La Matematica, vol. 5, no. 2, 33, Springer Nature, 2026, doi:10.1007/s44007-026-00217-w.

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