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

    6009 Perth

    Australia

  • 4628 Citations
  • 28 h-Index
20002019
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Research Output 2000 2019

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Article
2008
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
2007
11 Citations (Scopus)

Critical points inside the gaps of ground state laminations for some models in statistical mechanics

De La Llave, R. & Valdinoci, E., 1 Oct 2007, In : Journal of Statistical Physics. 129, 1, p. 81-119 39 p.

Research output: Contribution to journalArticle

Lamination
statistical mechanics
Statistical Mechanics
laminates
Ground State
13 Citations (Scopus)

Entropy penalization methods for Hamilton-Jacobi equations

Gomes, D. A. & Valdinoci, E., 20 Oct 2007, In : Advances in Mathematics. 215, 1, p. 94-152 59 p.

Research output: Contribution to journalArticle

Open Access
Penalization Method
Entropy Method
Hamilton-Jacobi Equation
Evolution Equation
Linear equation
22 Citations (Scopus)

Ground states and critical points for generalized Frenkel-Kontorova models in ℤd

De La Llave, R. & Valdinoci, E., 1 Dec 2007, In : Nonlinearity. 20, 10, p. 2409-2424 16 p.

Research output: Contribution to journalArticle

Frenkel-Kontorova Model
Ground state
Ground State
Critical point
critical point
28 Citations (Scopus)

Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media

de la Llave, R. & Valdinoci, E., 20 Oct 2007, In : Advances in Mathematics. 215, 1, p. 379-426 48 p.

Research output: Contribution to journalArticle

Open Access
Allen-Cahn Equation
Periodic Media
Ginzburg-Landau Equation
Multiplicity Results
Minimizer
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
2006
2 Citations (Scopus)

Bernoulli jets and the zero mean curvature equation

Valdinoci, E., 15 Jun 2006, In : Journal of Differential Equations. 225, 2, p. 710-736 27 p.

Research output: Contribution to journalArticle

Fluid mechanics
Mean Curvature
Bernoulli
Level Set
Viscosity
37 Citations (Scopus)

Flat level set regularity of p-Laplace phase transitions

Valdinoci, E., Sciunzi, B. & Savin, V. O., 1 Jul 2006, In : Memoirs of the American Mathematical Society. 182, 858, p. 1-150 150 p.

Research output: Contribution to journalArticle

Laplace
Level Set
Phase Transition
Phase transitions
Regularity
6 Citations (Scopus)

Flatness of Bernoulli jets

Valdinoci, E., 1 Oct 2006, In : Mathematische Zeitschrift. 254, 2, p. 257-298 42 p.

Research output: Contribution to journalArticle

Flatness
Minimizer
Variational Problem
Bernoulli
Level Set
19 Citations (Scopus)

N-dimensional elliptic invariant tori for the planar (N + 1)-body problem

Biasco, L., Chierchia, L. & Valdinoci, E., 1 Jan 2006, In : SIAM Journal on Mathematical Analysis. 37, 5, p. 1560-1588 29 p.

Research output: Contribution to journalArticle

Invariant Tori
Orbits
Averaging Theory
KAM Theory
Solar system
2005
15 Citations (Scopus)

Density estimates for a degenerate/singular phase-transition model

Petrosyan, A. & Valdinoci, E., 1 Aug 2005, In : SIAM Journal on Mathematical Analysis. 36, 4, p. 1057-1079 23 p.

Research output: Contribution to journalArticle

Density Estimates
Transition Model
Minimizer
Phase Transition
Phase transitions
13 Citations (Scopus)

Geometric properties of Bernoulli-type minimizers

Petrosyan, A. & Valdinoci, E., 1 Jan 2005, In : Interfaces and Free Boundaries. 7, 1, p. 55-78 24 p.

Research output: Contribution to journalArticle

free boundaries
gradients
estimates
16 Citations (Scopus)

Mean curvature properties for p-Laplace phase transitions

Sciunzi, B. & Valdinoci, E., 1 Jan 2005, In : Journal of the European Mathematical Society. 7, 3, p. 319-359 41 p.

Research output: Contribution to journalArticle

Mean Curvature
Laplace
Phase Transition
Phase transitions
Viscosity
2004
14 Citations (Scopus)

Instability of resonant totally elliptic points of symplectic maps in dimension 4

Kaloshin, V., Mather, J. N. & Valdinoci, E., 1 Dec 2004, In : Asterisque. 297, p. 79-116 38 p.

Research output: Contribution to journalArticle

Lyapunov
Fixed point
Arnold Diffusion
Lyapunov Stability
Stability Theorem
3 Citations (Scopus)

Lack of integrability via viscosity solution methods

Gomes, D. A. & Valdinoci, E., 1 Dec 2004, In : Indiana University Mathematics Journal. 53, 4, p. 1055-1071 17 p.

Research output: Contribution to journalArticle

Integrable Hamiltonian System
Rotation number
Viscosity Solutions
Integrability
32 Citations (Scopus)
Periodic Media
Jet Flow
Ginzburg-Landau
Minimizer
Quasiperiodicity
2003
19 Citations (Scopus)

Elliptic Two-Dimensional Invariant Tori for the Planetary Three-Body Problem

Biasco, L., Chierchia, L. & Valdinoci, E., 1 Nov 2003, In : Archive for Rational Mechanics and Analysis. 170, 2, p. 91-135 45 p.

Research output: Contribution to journalArticle

Three-body Problem
Invariant Tori
Planets
Stars
Star
2001
34 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
2000
8 Citations (Scopus)

A note on the construction of Hamiltonian trajectories along heteroclinic chains

Chierchia, L. & Valdinoci, E., 1 Dec 2000, In : Forum Mathematicum. 12, 2, p. 247-255 9 p.

Research output: Contribution to journalArticle

Hamiltonians
Heteroclinic Orbit
Codimension
Torus
Orbits
1 Citation (Scopus)

Estimates for non-resonant normal forms in hamiltonian perturbation theory

Valdinoci, E., 1 Nov 2000, In : Journal of Statistical Physics. 101, 3-4, p. 905-919 15 p.

Research output: Contribution to journalArticle

Small Divisors
Normal Form
Perturbation Theory
perturbation theory
Denominator
10 Citations (Scopus)
Hamiltonian Systems
Torus
Orbit
Unstable
orbits