• The University of Western Australia (M019), 35 Stirling Highway,

    6009 Perth

    Australia

  • 5033 Citations
  • 29 h-Index
20002023
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Research Output 2000 2019

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Article
2018
4 Citations (Scopus)
Open Access
Nonnegative Curvature
Stable Solution
Ricci Curvature
Nonlinear Boundary Conditions
Riemannian Manifold
2 Citations (Scopus)

Fattening and nonfattening phenomena for planar nonlocal curvature flows

Cesaroni, A., Dipierro, S., Novaga, M. & Valdinoci, E., 11 Dec 2018, In : Mathematische Annalen.

Research output: Contribution to journalArticle

Curvature Flow
Curvature
Perimeter
kernel
Tangent line
5 Citations (Scopus)

Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

Dipierro, S., Savin, O. & Valdinoci, E., 11 Jun 2018, In : Journal of Geometric Analysis. p. 1-28 28 p.

Research output: Contribution to journalArticle

Open Access
Nonlocal Equations
Local Approximation
Arbitrary
Linear equation
Operator
2 Citations (Scopus)

Minimizers for nonlocal perimeters of Minkowski type

Cesaroni, A., Dipierro, S., Novaga, M. & Valdinoci, E., 1 Apr 2018, In : Calculus of Variations and Partial Differential Equations. 57, 2, 64.

Research output: Contribution to journalArticle

Open Access
Perimeter
White noise
Minimizer
Rigidity
Concretes
7 Citations (Scopus)

Neckpinch singularities in fractional mean curvature flows

Cinti, E., Sinestrari, C. & Valdinoci, E., 2018, In : Proceedings of the American Mathematical Society. 146, 6, p. 2637-2646 10 p.

Research output: Contribution to journalArticle

Open Access
Mean Curvature Flow
Fractional
Singularity
Shrinking
Small Perturbations
1 Citation (Scopus)
Open Access
Geometric Flows
Mean Curvature Flow
Scale Invariance
Curve
Traveling Wave

Optimizing the fractional power in a model with stochastic PDE constraints

Geldhauser, C. & Valdinoci, E., 1 Nov 2018, In : Advanced Nonlinear Studies. 18, 4, p. 649-669 21 p.

Research output: Contribution to journalArticle

Stochastic PDEs
Fractional Powers
pulse detonation engines
State Equation
equations of state

Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media

Cozzi, M. & Valdinoci, E., 25 May 2018, In : Nonlinearity. 31, 7, 3013.

Research output: Contribution to journalArticle

Open Access
Periodic Media
Ginzburg-Landau
Perimeter
hyperplanes
Minimizer
Open Access
Unbounded Coefficients
Elliptic Equations
Parabolic Equation
Fractional
Infinity

The Phillip island penguin parade (A mathematical treatment)

Dipierro, S., Lombardini, L., Miraglio, P. & Valdinoci, E., 1 Jul 2018, In : Anziam Journal. 60, 1, p. 27-54 28 p.

Research output: Contribution to journalArticle

Walk
Ordinary differential equation
Existence and Uniqueness
Model
Numerical Simulation
2019

A symmetry result for elliptic systems in punctured domains

Biagi, S., Valdinoci, E. & Vecchi, E., 1 Sep 2019, In : Communications on Pure and Applied Analysis. 18, 5, p. 2819-2833 15 p.

Research output: Contribution to journalArticle

Open Access
Elliptic Systems
Symmetry
Boundary conditions
Hyperplane
System of equations
5 Citations (Scopus)

Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter

Bucur, C., Lombardini, L. & Valdinoci, E., 1 May 2019, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 36, 3, p. 655-703 49 p.

Research output: Contribution to journalArticle

Minimal surface
Fractional
Mean Curvature
Minimal Set
Connected Set
1 Citation (Scopus)

Decay estimates for evolutionary equations with fractional time-diffusion

Dipierro, S., Valdinoci, E. & Vespri, V., 1 Jun 2019, In : Journal of Evolution Equations. 19, 2, p. 435-462 28 p.

Research output: Contribution to journalArticle

Decay Estimates
Fractional
Nonlocal Diffusion
Nonlocal Equations
Diffusion equation
2 Citations (Scopus)

Decay estimates for evolution equations with classical and fractional time-derivatives

Affili, E. & Valdinoci, E., 15 Mar 2019, In : Journal of Differential Equations. 266, 7, p. 4027-4060 34 p.

Research output: Contribution to journalArticle

Decay Estimates
Evolution Equation
Fractional
Derivatives
Derivative

Gradient estimates for a class of anisotropic nonlocal operators

Farina, A. & Valdinoci, E., 1 Aug 2019, In : Nonlinear Differential Equations and Applications. 26, 4, 25.

Research output: Contribution to journalArticle

Gradient Estimate
Nonlocal Equations
Operator
Elliptic Equations
Increment

Limit behaviour of a singular perturbation problem for the Biharmonic operator

Dipierro, S., Karakhanyan, A. L. & Valdinoci, E., 25 Jul 2019, In : Applied Mathematics and Optimization. p. 1-35

Research output: Contribution to journalArticle

Biharmonic Operator
Limit Behavior
Singular Perturbation Problems
Monotonicity Formula
Biharmonic
1 Citation (Scopus)

Liouville type results for a nonlocal obstacle problem

Brasseur, J., Coville, J., Hamel, F. & Valdinoci, E., Aug 2019, In : Proceedings of the London Mathematical Society. 119, 2, p. 291-328

Research output: Contribution to journalArticle

Nonlocal Problems
Obstacle Problem
Nonlocal Equations
Qualitative Properties
Reaction-diffusion Equations

Minimizers of the p-oscillation functional

Cesaroni, A., Dipierro, S., Novaga, M. & Valdinoci, E., 1 Jan 2019, In : Discrete and Continuous Dynamical Systems- Series A. 39, 12, p. 6785-6799 15 p.

Research output: Contribution to journalArticle

Open Access
Minimizer
Oscillation
Compact Perturbation
Total Variation
Dirichlet Problem

One-Dimensional Symmetry for the Solutions of a Three-Dimensional Water Wave Problem

Cinti, E., Miraglio, P. & Valdinoci, E., 17 Sep 2019, In : Journal of Geometric Analysis.

Research output: Contribution to journalArticle

Water Waves
Minimizer
Symmetry
Three-dimensional
Monotone
2 Citations (Scopus)

On stationary fractional mean field games

Cesaroni, A., Cirant, M., Dipierro, S., Novaga, M. & Valdinoci, E., Feb 2019, In : Journal des Mathematiques Pures et Appliquees. 122, p. 1-22 22 p.

Research output: Contribution to journalArticle

Hamiltonians
Mean Field
Fractional
Game
Mathematical operators
5 Citations (Scopus)

On the evolution by fractional mean curvature

Saez, M. & Valdinoci, E., 2019, In : Communications in Analysis and Geometry. 27, 1, p. 211-249 39 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Overdetermined problems for the fractional Laplacian in exterior and annular sets

Soave, N. & Valdinoci, E., Mar 2019, In : Journal d'Analyse Mathematique. 137, 1, p. 101-134 34 p.

Research output: Contribution to journalArticle

Overdetermined Problems
Fractional Laplacian
Fractional
Radial Symmetry
Elliptic Equations
3 Citations (Scopus)
34 Downloads (Pure)

Quantitative flatness results and BV-estimates for stable nonlocal minimal surfaces

Cinti, E., Serra, J. & Valdinoci, E., Jul 2019, In : Journal of Differential Geometry. 112, 3, p. 447-504 58 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)

Rigidity results in diffusion Markov triples

Dipierro, S., Pinamonti, A. & Valdinoci, E., Feb 2019, In : Journal of Functional Analysis. 276, 3, p. 785-814

Research output: Contribution to journalArticle

Open Access
Stable Solution
Rigidity
Semilinear Equations
Topological space
Linear Operator

Wellposedness of a nonlinear peridynamic model

Coclite, G. M., Dipierro, S., Maddalena, F. & Valdinoci, E., Jan 2019, In : Nonlinearity. 32, 1, p. 1-21 21 p.

Research output: Contribution to journalArticle