Spolaor, Luca
- A strong maximum principle for minimizers of the one-phase Bernoulli problem
2022/05/01 by Edelen, Nick, Spolaor, Luca, Velichkov, Bozhidar · 4 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Quantitative Stability for Minimizing Yamabe Metrics
2020/09/30 by Max Engelstein, Engelstein, Max, Robin Neumayer +3 · 3 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering
- The singular set of minimal surfaces near polyhedral cones
2017/09/28 by Colombo, Maria, Edelen, Nick, Spolaor, Luca · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics
- The Riemannian Quantitative Isoperimetric Inequality
2019/08/02 by Chodosh, Otis, Engelstein, Max, Spolaor, Luca · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Regularity of minimal surfaces near quadratic cones
2019/10/01 by Nick Edelen, Edelen, Nick, Luca Spolaor +1 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
- Regularity of the free boundary for the two-phase Bernoulli problem
2019/11/06 by De Philippis, Guido, Spolaor, Luca, Velichkov, Bozhidar · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- On the boundary branching set of the one-phase problem
2024/07/21 by Ferreri, Lorenzo, Spolaor, Luca, Velichkov, Bozhidar · 4 citations
#35J57 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A logarithmic epiperimetric inequality for the obstacle problem
2017/08/07 by Colombo, Maria, Spolaor, Luca, Velichkov, Bozhidar · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The symmetric (log-)epiperimetric inequality and a decay-growth estimate
2023/04/21 by Nick Edelen, Edelen, Nick, Luca Spolaor +3 · 1 citation
Computer Science · Decision Sciences · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Fatigue and fracture mechanics #Probabilistic and Robust Engineering Design
- An epiperimetric inequality for the regularity of some free boundary\n problems: the 2-dimensional case
2016/12/05 by Luca Spolaor, Spolaor, Luca, Bozhidar Velichkov +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
- Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries
2021/07/26 by De Philippis, Guido, Engelstein, Max, Spolaor, Luca +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- (Quasi-)conformal methods in two-dimensional free boundary problems
2021/10/26 by De Philippis, Guido, Spolaor, Luca, Velichkov, Bozhidar · 1 citation
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics
- Unique continuation for nonlinear variational problems
2024/08/01 by Lorenzo Ferreri, Ferreri, Lorenzo, Luca Spolaor +3 · 1 citation
Computer Science · Engineering · #35B40 #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Topology Optimization in Engineering
- Interior regularity for two-dimensional stationary Q-valued maps
2022/11/16 by Jonas Hirsch, Hirsch, Jonas, Luca Spolaor +1 · 1 citation
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #advanced mathematical theories #Advanced Mathematical Modeling in Engineering