cvgmt: Lorenzo Brasco

Calculus of Variations and Geometric Measure Theory

Lorenzo Brasco

[brasco]

Full Professor, Università degli Studi di Ferrara

Email: lorenzo.brasco AT unife.it

Available papers (74):

L. Brasco (Book)
Handbook of Calculus of Variations for absolute beginners (2025)
C. Alessi - L. Brasco - M. Miranda Jr (Accepted Paper: Anal. Math. Phys.)
A Schroedinger operator with confining potential having quadratic growth (2025)
L. Brasco - L. Briani - F. Prinari (Preprint)
Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets (2025)
F. Bozzola - L. Brasco (Preprint)
Variations on the capacitary inradius (2025)
L. Brasco (Submitted Paper)
Beyond Cheeger's constant (2024)
F. Bozzola - L. Brasco (Accepted Paper: J. Geom. Anal.)
The role of topology and capacity in some bounds for principal frequencies (2024)
F. Bozzola - L. Brasco (Accepted Paper: ESAIM: COCV)
Capacitary inradius and Poincaré-Sobolev inequalities (2024)
L. Brasco - F. Prinari - A. C. Zagati (Accepted Paper: Adv. Calc. Var.)
Sobolev embeddings and distance functions (2023)
F. Bianchi - L. Brasco (Accepted Paper: J. London Math. Soc.)
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints (2023)
F. Bianchi - L. Brasco - A. C. Zagati (Accepted Paper: Math. Ann.)
On the sharp Hardy inequality in Sobolev-Slobodeckii spaces (2023)
L. Brasco - F. Prinari - F. Sk (Accepted Paper: J. Funct. Anal.)
On Morrey's inequality in Sobolev-Slobodeckij spaces (2023)
F. Bianchi - L. Brasco - R. Ognibene (J. Convex Anal.)
On the spectrum of sets made of cores and tubes (2023)
L. Brasco - F. Prinari - A. C. Zagati (Accepted Paper: Nonlinear Anal.)
A comparison principle for the Lane-Emden equation and applications to geometric estimates (2022)
F. Bianchi - L. Brasco (Accepted Paper: Ann. Mat. Pura Appl.)
The fractional Makai-Hayman inequality (2022)
F. Bianchi - L. Brasco - F. Sk - A. C. Zagati (Accepted Paper: Rev. Mat. Complut.)
A note on the supersolution method for Hardy's inequality (2022)
L. Brasco - E. Lindgren (Accepted Paper: Trans. Amer. Math. Soc.)
Uniqueness of extremals for some sharp Poincaré-Sobolev constants (2022)
L. Brasco - M. M. González - M. Ispizua (Accepted Paper: Commun. Contemp. Math)
A Steklov version of the torsional rigidity (2022)
P. Bousquet - L. Brasco - C. Leone (Accepted Paper: Rev. Mat. Iberoam.)
Singular orthotropic functionals with nonstandard growth conditions (2022)
L. Brasco - B. Volzone (Accepted Paper: Adv. Math.)
Long-time behavior for the porous medium equation with small initial energy (2021)
L. Brasco (Accepted Paper: Math. Eng.)
Convex duality for principal frequencies (2021)
P. Bousquet - L. Brasco - C. Leone - A. Verde (Accepted Paper: Adv. Calc. Var.)
Gradient estimates for an orthotropic nonlinear diffusion equation (2021)
L. Brasco - G. De Philippis - G. Franzina (Accepted Paper: Comm. Partial Differential Equations)
Positive solutions to the sublinear Lane-Emden equation are isolated (2021)
L. Brasco - E. Cinti - S. Vita (Accepted Paper: J. Funct. Anal.)
A quantitative stability estimate for the fractional Faber-Krahn inequality (2020)
L. Brasco - D. Gómez-Castro - J. L. Vazquez (Accepted Paper: Calc. Var. Partial Differential Equations)
Characterisation of homogeneous fractional Sobolev spaces (2020)
L. Brasco (Accepted Paper: Ann. Fac. Sci. Toulouse Math.)
On principal frequencies and isoperimetric ratios in convex sets (2019)
P. Bousquet - L. Brasco (Accepted Paper: Rev. Mat. Iberoam.)
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions (2019)
L. Brasco - G. Franzina (Accepted Paper: Rendiconti Sem. Mat. Univ. Pol. Torino)
An overview on constrained critical points of Dirichlet integrals (2019)
L. Brasco - D. Mazzoleni (Accepted Paper: NoDEA)
On principal frequencies, volume and inradius in convex sets (2019)
L. Brasco - E. Lindgren - M. Stromqvist (Accepted Paper: J. Evol. Equ.)
Continuity of solutions to a nonlinear fractional diffusion equation (2019)
L. Brasco - E. Lindgren - A. Schikorra (Accepted Paper: Adv. Math.)
Higher Holder regularity for the fractional $p-$Laplacian in the superquadratic case (2018)
L. Brasco - A. Salort (Accepted Paper: Ann. Mat. Pura Appl.)
A note on homogeneous Sobolev spaces of fractional order (2018)
L. Brasco (Accepted Paper: Bruno Pini Math. Anal. Semin.)
On principal frequencies and inradius in convex sets (2018)
L. Brasco - F. Santambrogio (Accepted Paper: Commun. Contemp. Math.)
A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian (2017)
L. Brasco - G. Franzina (Accepted Paper: Adv. Nonlinear Anal.)
A pathological example in Nonlinear Spectral Theory (2017)
L. Brasco - M. Squassina (Accepted Paper: J. Differential Equations)
Optimal solvability for a nonlocal problem at critical growth (2017)
L. Brasco - E. Cinti (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. A)
On fractional Hardy inequalities in convex sets (2017)
L. Brasco - G. Franzina - B. Ruffini (J. Funct. Anal.)
Schrödinger operators with negative potentials and Lane-Emden densities (2017)
P. Bousquet - L. Brasco - C. Leone - A. Verde (Accepted Paper: Calc. Var. Partial Differential Equations)
On the Lipschitz character of orthotropic $p-$harmonic functions (2017)
L. Brasco - F. Santambrogio (Accepted Paper: Springer Proceedings in Mathematics & Statistics)
A note on some Poincaré inequalities on convex sets by Optimal Transport methods (2016)
L. Brasco - C. Leone - G. Pisante - A. Verde (Accepted Paper: Nonlinear Anal.)
Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals (2016)
L. Brasco - M. Squassina - Y. Yang (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
Global compactness results for nonlocal problems (2016)
P. Bousquet - L. Brasco (Accepted Paper: Anal. PDE)
$C^1$ regularity of orthotropic $p-$harmonic functions in the plane (2016)
L. Brasco - G. De Philippis (Book Chapter)
Spectral inequalities in quantitative form (2016)
L. Brasco - E. Parini (Accepted Paper: Adv. Calc. Var.)
The second eigenvalue of the fractional $p-$Laplacian (2015)
L. Brasco - E. Parini - M. Squassina (Accepted Paper: Discrete Contin. Dyn. Syst.)
Stability of variational eigenvalues for the fractional $p-$Laplacian (2015)
L. Brasco - C. Nitsch - C. Trombetti (Accepted Paper: Commun. Contemp. Math.)
An inequality à la Szego-Weinberger for the $p-$Laplacian on convex sets (2015)
L. Brasco - S. J. N. Mosconi - M. Squassina (Accepted Paper: Calc. Var. Partial Differential Equations)
Optimal decay of extremals for the fractional Sobolev inequality (2015)
P. Bousquet - L. Brasco (Accepted Paper: Math. Ann.)
Global Lipschitz continuity for minima of degenerate problems (2015)
L. Brasco - E. Lindgren (Accepted Paper: Adv. Math.)
Higher Sobolev regularity for the fractional $p-$Laplace equation in the superquadratic case (2015)
L. Brasco - G. De Philippis - B. Velichkov (Duke Math. J.)
Faber-Krahn inequalities in sharp quantitative form (2015)
L. Brasco - B. Ruffini (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Compact Sobolev embeddings and torsion functions (2015)
L. Brasco - G. Buttazzo (Accepted Paper: Calc. Var. Partial Differential Equations)
Improved energy bounds for Schrödinger operators (2014)
P. Bousquet - L. Brasco - V. Julin (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Lipschitz regularity for local minimizers of some widely degenerate problems (2014)
L. Brasco - G. Franzina (Kodai Math. J.)
Convexity properties of Dirichlet integrals and Picone-type inequalities (2014)
L. Brasco (Accepted Paper: ESAIM: COCV)
On torsional rigidity and principal frequencies: an invitation to the Kohler-Jobin rearrangement technique (2013)
L. Brasco - G. Carlier (Accepted Paper: Adv. Calc. Var.)
On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds (2013)
L. Brasco - M. Petrache (Accepted Paper: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.)
A continuous model of transportation revisited (2013)
L. Brasco - E. Lindgren - E. Parini (Accepted Paper: Interfaces Free Bound.)
The fractional Cheeger problem (2013)
L. Brasco - R. Magnanini (Accepted Paper: Springer INdAM Series)
The heart of a convex body (2012)
L. Brasco - G. Franzina (Manuscripta Math.)
On the Hong-Krahn-Szego inequality for the $p-$Laplace operator (2012)
L. Brasco - G. Franzina (Arch. Math.)
A note on positive eigenfunctions and hidden convexity (2012)
L. Brasco - G. Carlier (Accepted Paper: Dyn. Games. Appl.)
Congested traffic equilibria and degenerate anisotropic PDEs (2012)
L. Brasco - G. Franzina (NoDEA)
An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities (2012)
L. Brasco - C. Nitsch - A. Pratelli (Z. Angew. Math. Phys.)
On the boundary of the attainable set of the Dirichlet spectrum (2012)
L. Brasco - A. Pratelli (GAFA)
Sharp stability of some spectral inequalities (2011)
L. Brasco - G. De Philippis - B. Ruffini (J. Funct. Anal.)
Spectral optimization for the Stekloff--Laplacian: the stability issue (2011)
L. Brasco (Ph.D. Thesis)
Geodesics and PDE methods in transport models (2010)
L. Brasco - F. Santambrogio (Accepted Paper: Discrete Contin. Dyn. Syst.)
An equivalent path functional formulation of branched transportation problems (2010)
L. Brasco (Accepted Paper: J. Math. Sci.)
A survey on dynamical transport distances (2010)
L. Brasco (Accepted Paper: Nonlinear Anal.)
Global $L^\infty$ gradient estimates for solutions to a certain degenerate elliptic equation (2010)
L. Brasco - R. Magnanini - P. Salani (Accepted Paper: Indiana Univ. Math. J.)
The location of the hot spot in a grounded convex conductor (2010)
L. Brasco - G. Buttazzo - F. Santambrogio (Accepted Paper: SIAM J. Math. Anal.)
A Benamou-Brenier approach to branched transport (2010)
L. Brasco - G. Carlier - F. Santambrogio (Accepted Paper: J. Math. Pures Appl.)
Congested traffic dynamics, weak flows and very degenerate elliptic equations (2010)
L. Brasco (Accepted Paper: Ann. Mat. Pura Appl.)
Curves of minimal action over metric spaces (2010)

Seminars:

8 sep 2021: A semilinear spectrum for the Dirichlet-Laplacian
8 mar 2017: A quasilinear equation with orthotropic structure
13 apr 2011: How to locate the hot spot in a heat conductor?
12 nov 2008: Sulla formulazione dinamica dei problemi di trasporto di massa

Speaker:

22 jul 2025 - 24 jul 2025: Workshop on Recent trends in calculus of variations and PDE
23 jun 2025 - 27 jun 2025: Workshop: Novel methods of PDEs and function spaces
20 may 2024 - 22 may 2024: 50 Anni di Calcolo delle Variazioni
6 nov 2023 - 7 nov 2023: Nonlinear partial differential equations in Salzburg
27 feb 2023 - 28 feb 2023: REGULARITY ASPECTS IN NONLINEAR PDEs
12 sep 2022 - 14 sep 2022: Fall workshop on nonlinear and nonlocal PDEs
6 sep 2021 - 10 sep 2021: Variational methods and applications
13 may 2020 - 15 may 2020: UCLouvain 2020 Workshop on Calculus of Variations
19 jun 2019 - 22 jun 2019: Nonlinear Averaging and PDEs
31 jan 2019 - 1 feb 2019: Nonlinear Meeting in Turin
11 oct 2018 - 12 oct 2018: "New Trends in the Regularity Theory of Partial Differential Equations"
13 jun 2018 - 15 jun 2018: Workshop on stability of functional inequalities and applications
4 jun 2018 - 8 jun 2018: Recent advances in Geometric Analysis
31 may 2018 - 1 jun 2018: Variational and PDE problems in Geometric Analysis
11 dec 2017 - 13 dec 2017: Mini-conference in PDEs
10 nov 2017 - 11 nov 2017: Geometric aspects of PDEs
14 sep 2017 - 15 sep 2017: Workshop "Calculus of Variations and Partial Differential Equations"
18 jun 2017 - 23 jun 2017: Harnack's inequalities and nonlinear operators. A conference to celebrate the 70th birthday of Emmanuele DiBenedetto
26 may 2017 - 26 may 2017: Brescia-Trento Nonlinear Days
25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
6 oct 2016 - 8 oct 2016: Research Meeting on Non-local Operators
10 jun 2014 - 13 jun 2014: Nonlinear partial differential equations and stochastic methods

Organizer:

6 mar 2024 - 7 mar 2024: CalVaFer - Calculus of Variations in Ferrara
25 oct 2021 - 28 oct 2021: Virtual PhD School "Kinetic & Mean Field Problems: Theory, Numerics and Applications"
5 dec 2014 - 5 dec 2014: Journée thématique "Optimisation et Contrôle"
16 dec 2011 - 16 dec 2011: Journée thématique "Calcul des Variations"