Uniform bounds for strongly competing systems: the optimal Lipschitz case N Soave, A Zilio Archive for Rational Mechanics and Analysis 218, 647-697, 2015 | 62 | 2015 |
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 | 57 | 2016 |
Uniform H\" older regularity with small exponent in competition-fractional diffusion systems S Terracini, G Verzini, A Zilio arXiv preprint arXiv:1303.6079, 2013 | 50 | 2013 |
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 | 31 | 2016 |
Hierarchical model reduction: three different approaches S Perotto, A Zilio Numerical Mathematics and Advanced Applications 2011: Proceedings of ENUMATH …, 2012 | 28 | 2012 |
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 | 25 | 2014 |
Space–time adaptive hierarchical model reduction for parabolic equations S Perotto, A Zilio Advanced modeling and simulation in engineering sciences 2, 1-45, 2015 | 23 | 2015 |
Predator-prey models with competition: the emergence of territoriality H Berestycki, A Zilio The American Naturalist 193 (3), 436-446, 2019 | 19 | 2019 |
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 | 19 | 2017 |
Spiraling Asymptotic Profiles of Competition‐Diffusion Systems S Terracini, G Verzini, A Zilio Communications on Pure and Applied Mathematics 72 (12), 2578-2620, 2019 | 18 | 2019 |
Entire solutions with exponential growth for an elliptic system modelling phase separation N Soave, A Zilio Nonlinearity 27 (2), 305, 2014 | 15 | 2014 |
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 | 14 | 2020 |
Predators–prey models with competition, part i: Existence, bifurcation and qualitative properties H Berestycki, A Zilio Communications in Contemporary Mathematics 20 (07), 1850010, 2018 | 14 | 2018 |
Variational problems with long-range interaction N Soave, H Tavares, S Terracini, A Zilio arXiv preprint arXiv:1701.05005, 2017 | 13 | 2017 |
Multidimensional entire solutions for an elliptic system modelling phase separation N Soave, A Zilio Analysis & PDE 9 (5), 1019-1041, 2016 | 8 | 2016 |
Regularity results for segregated configurations involving fractional Laplacian G Tortone, A Zilio Nonlinear Analysis 193, 111532, 2020 | 7 | 2020 |
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 | 6 | 2023 |
Rotating Spirals in segregated reaction-diffusion systems A Salort, S Terracini, G Verzini, A Zilio arXiv preprint arXiv:2202.10369, 2022 | 3 | 2022 |
Predator-prey models with competition, Part III: Classification of stationary solutions H Berestycki, A Zilio arXiv preprint arXiv:1901.02820, 2019 | 3 | 2019 |
Optimal regularity results related to a partition problem involving the half-Laplacian A Zilio New Trends in Shape Optimization, 301-314, 2015 | 3 | 2015 |