article published yes Giovanni Brigati author 63ff57e8-1fbb-11ee-88f2-f558ffc59cf1 JaMa department 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. https://research-explorer.ista.ac.at/download/21881/21892/2026_LaMathematica_Brigati.pdf application/pdfno Springer Nature2026 eng 2730-9657 2309.0037710.1007/s44007-026-00217-w 52 Brigati G. Nonlinear Dirichlet forms, energy spaces, and calculus rules. <i>La Matematica</i>. 2026;5(2). doi:<a href="https://doi.org/10.1007/s44007-026-00217-w">10.1007/s44007-026-00217-w</a> Brigati, Giovanni. “Nonlinear Dirichlet Forms, Energy Spaces, and Calculus Rules.” <i>La Matematica</i>, vol. 5, no. 2, 33, Springer Nature, 2026, doi:<a href="https://doi.org/10.1007/s44007-026-00217-w">10.1007/s44007-026-00217-w</a>. G. Brigati, “Nonlinear Dirichlet forms, energy spaces, and calculus rules,” <i>La Matematica</i>, vol. 5, no. 2. Springer Nature, 2026. G. Brigati, La Matematica 5 (2026). Brigati, G. (2026). Nonlinear Dirichlet forms, energy spaces, and calculus rules. <i>La Matematica</i>. Springer Nature. <a href="https://doi.org/10.1007/s44007-026-00217-w">https://doi.org/10.1007/s44007-026-00217-w</a> Brigati, Giovanni. “Nonlinear Dirichlet Forms, Energy Spaces, and Calculus Rules.” <i>La Matematica</i>. Springer Nature, 2026. <a href="https://doi.org/10.1007/s44007-026-00217-w">https://doi.org/10.1007/s44007-026-00217-w</a>. Brigati G. 2026. Nonlinear Dirichlet forms, energy spaces, and calculus rules. La Matematica. 5(2), 33. 218812026-05-17T22:02:10Z2026-05-18T08:27:08Z