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Alessandro Zilio
Alessandro Zilio
Université de Paris - Campus Grands Moulins
Verified email at math.univ-paris-diderot.fr - Homepage
Title
Cited by
Cited by
Year
Uniform bounds for strongly competing systems: the optimal Lipschitz case
N Soave, A Zilio
Archive for Rational Mechanics and Analysis 218, 647-697, 2015
622015
Uniform Hölder bounds for strongly competing systems involving the square root of the laplacian
S Terracini, G Verzini, A Zilio
Journal of the European Mathematical Society 18 (12), 2865-2924, 2016
572016
Uniform H\" older regularity with small exponent in competition-fractional diffusion systems
S Terracini, G Verzini, A Zilio
arXiv preprint arXiv:1303.6079, 2013
502013
Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping
N Soave, H Tavares, S Terracini, A Zilio
Nonlinear Analysis 138, 388-427, 2016
312016
Hierarchical model reduction: three different approaches
S Perotto, A Zilio
Numerical Mathematics and Advanced Applications 2011: Proceedings of ENUMATH …, 2012
282012
Strong competition versus fractional diffusion: the case of Lotka-Volterra interaction
G Verzini, A Zilio
Communications in Partial Differential Equations 39 (12), 2284-2313, 2014
252014
Space–time adaptive hierarchical model reduction for parabolic equations
S Perotto, A Zilio
Advanced modeling and simulation in engineering sciences 2, 1-45, 2015
232015
Predator-prey models with competition: the emergence of territoriality
H Berestycki, A Zilio
The American Naturalist 193 (3), 436-446, 2019
192019
On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects
N Soave, A Zilio
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (3), 625-654, 2017
192017
Spiraling Asymptotic Profiles of Competition‐Diffusion Systems
S Terracini, G Verzini, A Zilio
Communications on Pure and Applied Mathematics 72 (12), 2578-2620, 2019
182019
Entire solutions with exponential growth for an elliptic system modelling phase separation
N Soave, A Zilio
Nonlinearity 27 (2), 305, 2014
152014
Parallel dark-soliton pair in a bistable two-dimensional exciton-polariton superfluid
G Lerario, SV Koniakhin, A Maître, D Solnyshkov, A Zilio, Q Glorieux, ...
Physical Review Research 2 (4), 042041, 2020
142020
Predators–prey models with competition, part i: Existence, bifurcation and qualitative properties
H Berestycki, A Zilio
Communications in Contemporary Mathematics 20 (07), 1850010, 2018
142018
Variational problems with long-range interaction
N Soave, H Tavares, S Terracini, A Zilio
arXiv preprint arXiv:1701.05005, 2017
132017
Multidimensional entire solutions for an elliptic system modelling phase separation
N Soave, A Zilio
Analysis & PDE 9 (5), 1019-1041, 2016
82016
Regularity results for segregated configurations involving fractional Laplacian
G Tortone, A Zilio
Nonlinear Analysis 193, 111532, 2020
72020
Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius
N Soave, H Tavares, A Zilio
Mathematische Annalen 386 (1), 551-585, 2023
62023
Rotating Spirals in segregated reaction-diffusion systems
A Salort, S Terracini, G Verzini, A Zilio
arXiv preprint arXiv:2202.10369, 2022
32022
Predator-prey models with competition, Part III: Classification of stationary solutions
H Berestycki, A Zilio
arXiv preprint arXiv:1901.02820, 2019
32019
Optimal regularity results related to a partition problem involving the half-Laplacian
A Zilio
New Trends in Shape Optimization, 301-314, 2015
32015
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