• 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
4 Citations (Scopus)

Semilinear PDEs in the Heisenberg group: The role of the right invariant vector fields

Birindelli, I., Ferrari, F. & Valdinoci, E., 15 Jan 2009, In : Nonlinear Analysis, Theory, Methods and Applications. 72, 2, p. 987-997 11 p.

Research output: Contribution to journalArticle

Heisenberg Group
Semilinear
Vector Field
Invariant
Stable Solution
4 Citations (Scopus)

Some connections between results and problems of de Giorgi, moser and bangert

Junginger-Gestrich, H. & Valdinoci, E., 1 May 2009, In : Zeitschrift Fur Angewandte Mathematik und Physik. 60, 3, p. 393-401 9 p.

Research output: Contribution to journalArticle

Minimal Solution
Self-intersection
Integrand
rigidity
Rigidity
2 Citations (Scopus)

Some elliptic PDEs on riemannian manifolds with boundary

Sire, Y. & Valdinoci, E., 28 Dec 2010, In : Pacific Journal of Mathematics. 248, 2, p. 475-492 18 p.

Research output: Contribution to journalArticle

Elliptic PDE
Manifolds with Boundary
Riemannian Manifold
Nonlocal Equations
Stable Solution
16 Citations (Scopus)

Some monotonicity results for minimizers in the calculus of variations

Savin, O. & Valdinoci, E., 15 May 2013, In : Journal of Functional Analysis. 264, 10, p. 2469-2496 28 p.

Research output: Contribution to journalArticle

Open Access
Stable Solution
Calculus of variations
Minimizer
Global Solution
Rigidity
5 Citations (Scopus)

Some results on minimizers and stable solutions of a variational problem

Farina, A. & Valdinoci, E., 1 Aug 2012, In : Ergodic Theory and Dynamical Systems. 32, 4, p. 1302-1312 11 p.

Research output: Contribution to journalArticle

Stable Solution
Minimizer
Variational Problem
Monotonicity
Symmetry
13 Citations (Scopus)

Some weighted Poincaré inequalities

Ferrari, F. & Valdinoci, E., 8 Oct 2009, In : Indiana University Mathematics Journal. 58, 4, p. 1619-1637 19 p.

Research output: Contribution to journalArticle

Weighted Inequalities
Euclidean space
Sub-Laplacian
Stable Solution
Heisenberg Group
20 Citations (Scopus)

Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds

Farina, A., Mari, L. & Valdinoci, E., Oct 2013, In : Communications in Partial Differential Equations. 38, 10, p. 1818-1862 45 p.

Research output: Contribution to journalArticle

Overdetermined Problems
Elliptic Problems
Riemannian Manifold
Killing Vector Field
Symmetry
20 Citations (Scopus)

Stable solutions of elliptic equations on Riemannian manifolds

Farina, A., Sire, Y. & Valdinoci, E., 1 Jul 2013, In : Journal of Geometric Analysis. 23, 3, p. 1158-1172 15 p.

Research output: Contribution to journalArticle

Weighted Inequalities
Stable Solution
Smooth Manifold
Flatness
Elliptic Partial Differential Equations
10 Citations (Scopus)

Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings

Farina, A., Sire, Y. & Valdinoci, E., 1 Jan 2012, In : Proceedings of the American Mathematical Society. 140, 3, p. 927-930 4 p.

Research output: Contribution to journalArticle

Stable Solution
Elliptic Partial Differential Equations
Bounded Solutions
Semilinear
Level Set
16 Citations (Scopus)

Strongly Nonlocal Dislocation Dynamics in Crystals

Dipierro, S., Figalli, A. & Valdinoci, E., 1 Jan 2014, In : Communications in Partial Differential Equations. 39, 12, p. 2351-2387 37 p.

Research output: Contribution to journalArticle

Open Access
Dislocation Dynamics
Dislocation
Dislocations (crystals)
Crystal
Crystals
8 Citations (Scopus)

Symmetry for a Dirichlet-Neumann problem arising in water waves

De La Llave, R. & Valdinoci, E., 1 Sep 2009, In : Mathematical Research Letters. 16, 5, p. 909-918 10 p.

Research output: Contribution to journalArticle

Water Waves
Neumann Problem
Dirichlet Problem
Dirichlet
Euclidean
225 Citations (Scopus)

The Brezis-Nirenberg result for the fractional laplacian

Servadei, R. & Valdinoci, E., 1 Jan 2015, In : Transactions of the American Mathematical Society. 367, 1, p. 67-102 36 p.

Research output: Contribution to journalArticle

Fractional Laplacian
Fractional
Variational techniques
Laplace equation
Integro-differential Operators
14 Citations (Scopus)

The Dirichlet problem for nonlocal operators with singular kernels: Convex and nonconvex domains

Ros-Oton, X. & Valdinoci, E., 22 Jan 2016, In : Advances in Mathematics. 288, p. 732-790 59 p.

Research output: Contribution to journalArticle

Open Access
Singular Kernel
Dirichlet Problem
Operator
Fractional Laplacian
Regularity of Solutions
4 Citations (Scopus)

The effect on fisher-kpp propagation in a cylinder with fast diffusion on the boundary

Rossi, L., Tellini, A. & Valdinoci, E., 2017, In : SIAM Journal on Mathematical Analysis. 49, 6, p. 4595-4624 30 p.

Research output: Contribution to journalArticle

Open Access
Fast Diffusion
Propagation
Reaction-diffusion Equations
Strip
Diffusivity
9 Citations (Scopus)

The geometry of mesoscopic phase transition interfaces

Novaga, M. & Valdinoci, E., 1 Dec 2007, In : Discrete and Continuous Dynamical Systems. 19, 4, p. 777-798 22 p.

Research output: Contribution to journalArticle

Phase Transition
Phase transitions
Density Estimates
Minimal Solution
Geometry
10 Citations (Scopus)

The Ginzburg-Landau equation in the Heisenberg group

Birindelli, I. & Valdinoci, E., 1 Oct 2008, In : Communications in Contemporary Mathematics. 10, 5, p. 671-719 49 p.

Research output: Contribution to journalArticle

Ginzburg-Landau Equation
Heisenberg Group
Level Set
Phase transitions
Minimizer

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
82 Citations (Scopus)

Uniform estimates and limiting arguments for nonlocal minimal surfaces

Caffarelli, L. & Valdinoci, E., 1 May 2011, In : Calculus of Variations and Partial Differential Equations. 41, 1-2, p. 203-240 38 p.

Research output: Contribution to journalArticle

Uniform Estimates
Minimal surface
Perimeter
Limiting
Minimal Set
35 Citations (Scopus)

Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)su + u = up in ℝN when s is Close to 1

Fall, M. M. & Valdinoci, E., Jul 2014, In : Communications in Mathematical Physics. 329, 1, p. 383-404 22 p.

Research output: Contribution to journalArticle

Open Access
Nondegeneracy
uniqueness
Positive Solution
Uniqueness
Minimizer
4 Citations (Scopus)

Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations

Punzo, F. & Valdinoci, E., 1 Jan 2015, In : Journal of Differential Equations. 258, 2, p. 555-587 33 p.

Research output: Contribution to journalArticle

Open Access
Weighted Lebesgue Spaces
Elliptic Equations
Parabolic Equation
Fractional
Uniqueness
36 Citations (Scopus)

Upper bounds on Arnold diffusion times via Mather theory

Bessi, U., Chierchia, L. & Valdinoci, E., 1 Jan 2001, In : Journal des Mathematiques Pures et Appliquees. 80, 1, p. 105-129 25 p.

Research output: Contribution to journalArticle

Arnold Diffusion
Upper bound
Hamiltonians
Homoclinic
Ladders
321 Citations (Scopus)

Variational methods for non-local operators of elliptic type

Servadei, R. & Valdinoci, E., 1 May 2013, In : Discrete and Continuous Dynamical Systems- Series A. 33, 5, p. 2105-2137 33 p.

Research output: Contribution to journalArticle

Open Access
Variational Methods
Mathematical operators
Critical point
Nonlinear analysis
Operator
65 Citations (Scopus)

Weak and viscosity solutions of the fractional laplace equation

Servadei, R. & Valdinoci, E., 1 Jan 2014, In : Publicacions Matematiques. 58, 1, p. 133-154 22 p.

Research output: Contribution to journalArticle

Open Access
Viscosity Solutions
Laplace's equation
Fractional Laplacian
Weak Solution
Fractional

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

53 Citations (Scopus)

Γ-convergence for nonlocal phase transitions

Savin, O. & Valdinoci, E., 1 Jan 2012, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 29, 4, p. 479-500 22 p.

Research output: Contribution to journalArticle

Open Access
Minimal surface
Phase Transition
Converge
Double-well Potential
Energy