Caterina Sportelli
- An existence theory for nonlinear superposition operators of mixed fractional order
2023/10/04 by Serena Dipierro, Kanishka Perera, Dipierro, Serena +5 · 6 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis
- An existence theory for superposition operators of mixed order subject to jumping nonlinearities
2023/09/25 by Serena Dipierro, Kanishka Perera, Dipierro, Serena +5 · 5 citations
Mathematics · Computer Science · #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering #Approximation Theory and Sequence Spaces
- 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 · 5 citations
Mathematics · #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems
- A general theory for the (s, p)-superposition of nonlinear fractional operators
2024/08/26 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +5 · 3 citations
Mathematics · #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Holomorphic and Operator Theory
- A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
2022/10/25 by Kanishka Perera, Perera, Kanishka, Caterina Sportelli +1 · 1 citation
Computer Science · Engineering · Mathematics · #35J20 (Secondary) #35R11(Primary) 35B33 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- The Neumann condition for the superposition of fractional Laplacians
2024/02/08 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +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
- Some nonlinear problems for the superposition of fractional operators with Neumann boundary conditions
2024/04/17 by Serena Dipierro, Dipierro, Serena, Edoardo Proietti Lippi +5 · 1 citation
Mathematics · #Differential Equations and Boundary Problems #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods