Pubblicazioni-Publications
Articoli su rivista - Published papers
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri, Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature, To appear in Analysis&Pdes
Luca Benatti and Mattia Fogagnolo, Isoperimetric sets in nonnegative scalar curvature and their role through various concepts of mass, To appear on Springer INdAM series: Anisotropic Isoperimetric Problems & Related Topics
Gioacchino Antonelli, Mattia Fogagnolo and Marco Pozzetta, The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis, CCM, 2024
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri, Nonlinear isocapacitary concepts of mass in nonnegative scalar curvature, SIGMA, 2023
Mattia Fogagnolo, Andrea Malchiodi and Lorenzo Mazzieri, A Note on the Critical Laplace Equation and Ricci Curvature, JGA, 2023
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri, The asymptotic behaviour of p-capacitary potentials in asymptotically conical manifolds, Math. Ann., 2022
Mattia Fogagnolo and Lorenzo Mazzieri, Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds. JFA, 2022
Mattia Fogagnolo and Andrea Pinamonti, New integral estimates in Substatic Manifolds and the Alexanxdrov Theorem. JMPA, 2022.
Gioacchino Antonelli, Elia Bruè, Mattia Fogagnolo and Marco Pozzetta, On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. Calc.Var & PDEs, 2022.
Virginia Agostiniani, Mattia Fogagnolo and Lorenzo Mazzieri, Minkowski Inequalities via Nonlinear Potential Theory, ARMA, 2022.
Mattia Fogagnolo and Andrea Pinamonti, Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group, Math. in Eng. , 2020.
Virginia Agostiniani, Mattia Fogagnolo and Lorenzo Mazzieri, Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature, Inv Math, 2020.
Mattia Fogagnolo, Lorenzo Mazzieri and Andrea Pinamonti, Geometric aspects of p-capacitary potentials, Ann. Inst. H. P. ANL, 2019.
Mattia Fogagnolo, Roberto Monti and Davide Vittone, Variation formulas for H-rectifiable sets, Ann. Ac. Sc. Fenn., 2017.
Preprints (available on arXiv)
Stefano Borghini and Mattia Fogagnolo, Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality, 2023
Stefano Borghini, Mattia Fogagnolo and Andrea Pinamonti, The equality case in the substatic Heintze-Karcher inequality, 2023
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri, On the Isoperimetric Riemannian Penrose Inequality, 2022
PhD and Master Theses
Mattia Fogagnolo, Geometric applications of Linear and Nonlinear Potential Theory, Phd Thesis (supervisor: Lorenzo Mazzieri) Geometric applications of Linear and Nonlinear Potential Theory (unitn.it)
Mattia Fogagnolo, Variation formulas for H-perimeter in Heisenberg groups, Master Thesis (supervisor: Roberto Monti) Fogagnolo.pdf (unipd.it)