Projects per year

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 1 Similar Profiles

Fractional
Mathematics

Free Boundary Problem
Mathematics

Perimeter
Mathematics

Nonlocal Equations
Mathematics

Rigidity
Mathematics

Minimizer
Mathematics

Energy
Mathematics

Minimal surface
Mathematics

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## Projects 2011 2021

- 2 Active

## Partial Differential Equations, free boundaries and applications

ARC Discovery Early Career Researcher Awards

30/11/18 → 29/11/21

Project: Research

## Research Output 2013 2018

## (Non)local and (non)linear free boundary problems

Dipierro, S. & Valdinoci, E., 2018, In : DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A. 11, 3, p. 465-476 12 p.Research output: Contribution to journal › Article

Open Access

Free Boundary Problem

Invariance

Electron energy levels

Superposition

Energy

## A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion

Dipierro, S. & Valdinoci, E., 2018, In : Bulletin of Mathematical Biology. 80, 7, p. 1849-1870 22 p.Research output: Contribution to journal › Article

Open Access

Fractional Diffusion

Purkinje Cells

Traveling Wave

Theoretical Models

mathematical models

## A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime

Dipierro, S., Farina, A. & Valdinoci, E., 1 Feb 2018, In : Calculus of Variations and Partial Differential Equations. 57, 1, 15.Research output: Contribution to journal › Article

Open Access

Nonlinear analysis

Phase Transition

Phase transitions

Allen-Cahn Equation

Symmetry

## Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients

Dipierro, S., Karakhanyan, A. & Valdinoci, E., 1 Dec 2018,*Discrete and Continuous Dynamical Systems - Series A.*12 ed. Vol. 38. p. 6073-6090 18 p. (Discrete and Continuous Dynamical Systems- Series A).

Research output: Chapter in Book/Conference paper › Conference paper

Open Access

Discontinuous Coefficients

Invariance

Free Boundary

Irregular

Discontinuity

## Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature

Dipierro, S., Pinamonti, A. & Valdinoci, E., 7 Jun 2018, In : Advances in Nonlinear Analysis.Research output: Contribution to journal › Article

Open Access

Nonnegative Curvature

Stable Solution

Ricci Curvature

Nonlinear Boundary Conditions

Riemannian Manifold