Serena Dipierro

1. Mixed local and nonlocal elliptic operators: regularity and maximum\n principles
   2020/05/14 by Stefano Biagi, Biagi, Stefano, Serena Dipierro +5 · 16 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
2. (Non)local logistic equations with Neumann conditions
   2021/01/07 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +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
3. 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, Dipierro, Serena, Enrico Valdinoci +1 · 12 citations
   Mathematics · Medicine · #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth
4. Semilinear elliptic equations involving mixed local and nonlocal operators
   2020/06/10 by Stefano Biagi, Biagi, Stefano, Eugenio Vecchi +5 · 9 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Lipschitz regularity of almost minimizers in one-phase problems driven by the p-Laplace operator
   2022/06/07 by Serena Dipierro, Fausto Ferrari, Dipierro, Serena +5 · 3 citations
   Computer Science · Mathematics · #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations
6. An existence theory for nonlinear superposition operators of mixed fractional order
   2023/10/04 by Serena Dipierro, Dipierro, Serena, Kanishka Perera +5 · 4 citations
   Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis
7. Symmetry and quantitative stability for the parallel surface fractional torsion problem
   2021/10/07 by Giulio Ciraolo, Serena Dipierro, Ciraolo, Giulio +7 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
8. 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
9. An existence theory for superposition operators of mixed order subject to jumping nonlinearities
   2023/09/25 by Serena Dipierro, Dipierro, Serena, Kanishka Perera +5 · 3 citations
   Mathematics · Computer Science · #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering #Approximation Theory and Sequence Spaces
10. A gentle invitation to the fractional world
    2024/11/27 by Nicola Abatangelo, Abatangelo, Nicola, Serena Dipierro +3 · 5 citations
    Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Partial Differential Equations
11. Qualitative properties of positive solutions to nonlocal critical\n problems involving the Hardy-Leray potential
    2015/06/24 by Serena Dipierro, Dipierro, Serena, Luigi Montoro +5 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems
12. 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
13. On stationary fractional Mean Field Games
    2017/05/29 by Annalisa Cesaroni, Marco Cirant, Cesaroni, Annalisa +7 · 1 citation
    Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Stochastic processes and financial applications
14. 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
15. Logistic diffusion equations governed by the superposition of operators of mixed fractional order
    2025/01/22 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +5 · 4 citations
    Mathematics · #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems
16. Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents
    2023/08/22 by Serena Dipierro, Dipierro, Serena, Giorgio Poggesi +5 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
17. Quantitative stability for the nonlocal overdetermined Serrin problem
    2023/09/29 by Serena Dipierro, Giorgio Poggesi, 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
18. 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
19. 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
20. A quantitative Gidas-Ni-Nirenberg-type result for the p-Laplacian via integral identities
    2024/08/07 by Serena Dipierro, Dipierro, Serena, João S. Silva +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
21. A general theory for the (s, p)-superposition of nonlinear fractional operators
    2024/08/26 by Serena Dipierro, Edoardo Proietti Lippi, Dipierro, Serena +5 · 1 citation
    Mathematics · #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Holomorphic and Operator Theory
22. A logistic equation with non-local operators of order near zero
    2026/07/27 by Luigi Appolloni, Serena Dipierro, Enrico Valdinoci
    #math.AP
23. Ground state solutions for Hartree type equations driven by superposition operators and Pohozaev Identity
    2026/07/21 by Alessandro Cannone, Silvia Cingolani, Serena Dipierro
    #math.AP