Enrico Valdinoci

1. Hitchhiker's guide to the fractional Sobolev spaces
   2011/04/21 by Eleonora Di Nezza, Giampiero Palatucci, Di Nezza, Eleonora +3 · 92 citations
   Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations
2. Hitchhikerʼs guide to the fractional Sobolev spaces
   2012/07/01 by Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci · 47 citations
3. The Brezis-Nirenberg result for the fractional Laplacian
   2014/09/22 by Raffaella Servadei, Enrico Valdinoci · 27 citations
   Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
4. Mixed local and nonlocal elliptic operators: regularity and maximum\n principles
   2020/05/14 by Stefano Biagi, Serena Dipierro, Biagi, Stefano +5 · 14 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
5. (Non)local logistic equations with Neumann conditions
   2021/01/07 by Serena Dipierro, Edoardo Proietti Lippi, Dipierro, Serena +3 · 12 citations
   Medicine · Biochemistry, Genetics and Molecular Biology · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Evolution and Genetic Dynamics #Mathematical Biology Tumor Growth
6. Description of an ecological niche for a mixed local/nonlocal dispersal:\n an evolution equation and a new Neumann condition arising from the\n superposition of Brownian and L 'evy processes
   2021/04/22 by Serena Dipierro, Enrico Valdinoci, Dipierro, Serena +1 · 12 citations
   Mathematics · Medicine · #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth
7. Semilinear elliptic equations involving mixed local and nonlocal operators
   2020/10/14 by Stefano Biagi, Eugenio Vecchi, Serena Dipierro +1 · 8 citations
8. Quantitative flatness results and BV-estimates for stable nonlocal\n minimal surfaces
   2016/02/01 by Eleonora Cinti, Cinti, Eleonora, Joaquim Serra +3 · 4 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
9. On the spectrum of two different fractional operators
   2014/07/24 by Raffaella Servadei, Enrico Valdinoci · 2 citations
10. A new type of identification problems: optimizing the fractional order\n in a nonlocal evolution equation
    2016/01/04 by Jürgen Sprekels, Sprekels, Jürgen, Enrico Valdinoci +1 · 2 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations
11. Local and global minimizers for a variational energy involving a\n fractional norm
    2011/04/09 by Giampiero Palatucci, Enrico Valdinoci, Palatucci, Giampiero +3 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Nonlinear Partial Differential Equations
12. Regularity properties of nonlocal minimal surfaces via limiting arguments
    2011/05/05 by Luis Caffarelli, Caffarelli, Luis, Enrico Valdinoci +1 · 2 citations
    Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
13. An existence theory for nonlinear superposition operators of mixed fractional order
    2023/10/04 by Serena Dipierro, Kanishka Perera, Dipierro, Serena +5 · 4 citations
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis
14. A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators
    2021/10/14 by Stefano Biagi, Biagi, Stefano, Serena Dipierro +5 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
15. Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
    2008/01/15 by Yannick Sire, Sire, Yannick, Enrico Valdinoci +1 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
16. An existence theory for superposition operators of mixed order subject to jumping nonlinearities
    2023/09/25 by Serena Dipierro, Kanishka Perera, Dipierro, Serena +5 · 3 citations
    Mathematics · Computer Science · #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering #Approximation Theory and Sequence Spaces
17. A gentle invitation to the fractional world
    2024/11/27 by Nicola Abatangelo, Serena Dipierro, Abatangelo, Nicola +3 · 5 citations
    Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Partial Differential Equations
18. Minimizers for nonlocal perimeters of Minkowski type
    2017/04/11 by Annalisa Cesaroni, Cesaroni, Annalisa, Serena Dipierro +5 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
19. Non-symmetric stable operators: regularity theory and integration by parts
    2020/12/09 by Serena Dipierro, Xavier Ros‐Oton, Dipierro, Serena +5 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
20. Logistic diffusion equations governed by the superposition of operators of mixed fractional order
    2025/01/22 by Serena Dipierro, Edoardo Proietti Lippi, Dipierro, Serena +5 · 4 citations
    Mathematics · #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems
21. Symmetry and quantitative stability for the parallel surface fractional torsion problem
    2021/10/07 by Giulio Ciraolo, Ciraolo, Giulio, Serena Dipierro +7 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
22. Some nonlinear problems for the superposition of fractional operators with Neumann boundary conditions
    2024/04/17 by Serena Dipierro, Edoardo Proietti Lippi, Dipierro, Serena +5 · 1 citation
    Mathematics · #Differential Equations and Boundary Problems #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods
23. Density estimates for a nonlocal variational model with a degenerate double-well potential via the Sobolev inequality
    2025/02/19 by Serena Dipierro, Alberto Farina, Dipierro, Serena +5 · 2 citations
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
24. A quantitative Gidas-Ni-Nirenberg-type result for the p-Laplacian via integral identities
    2024/08/07 by Serena Dipierro, João S. Silva, Dipierro, Serena +5 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
25. A general theory for the (s, p)-superposition of nonlinear fractional operators
    2024/08/26 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +5 · 1 citation
    Mathematics · #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Holomorphic and Operator Theory
26. A logistic equation with non-local operators of order near zero
    2026/07/27 by Luigi Appolloni, Serena Dipierro, Enrico Valdinoci
    #math.AP
27. A free boundary problem driven by boundary distance in the coincidence set
    2026/07/23 by Amal Alphonse, Enrico Valdinoci, Marcelo Bongarti
    #math.AP #math.OC