| Getting acquainted with the fractional Laplacian N Abatangelo, E Valdinoci Contemporary research in elliptic PDEs and related topics, 1-105, 2019 | 158* | 2019 |
| Large -harmonic functions and boundary blow-up solutions for the fractional Laplacian N Abatangelo arXiv preprint arXiv:1310.3193, 2013 | 135 | 2013 |
| A notion of nonlocal curvature N Abatangelo, E Valdinoci Numerical Functional Analysis and Optimization 35 (7-9), 793-815, 2014 | 109 | 2014 |
| Obstacle problems for integro-differential operators: higher regularity of free boundaries N Abatangelo, X Ros-Oton Advances in Mathematics 360, 106931, 2020 | 69 | 2020 |
| Nonhomogeneous boundary conditions for the spectral fractional Laplacian N Abatangelo, L Dupaigne Annales de l'Institut Henri Poincare (C) Non Linear Analysis 34 (2), 439-467, 2017 | 68 | 2017 |
| An elliptic boundary value problem with fractional nonlinearity N Abatangelo, M Cozzi SIAM Journal on Mathematical Analysis 53 (3), 3577-3601, 2021 | 51 | 2021 |
| On the loss of maximum principles for higher-order fractional Laplacians N Abatangelo, S Jarohs, A Saldaña Proceedings of the American Mathematical Society 146 (11), 4823-4835, 2018 | 36 | 2018 |
| Singular boundary behaviour and large solutions for fractional elliptic equations N Abatangelo, D Gómez‐Castro, JL Vázquez Journal of the London Mathematical Society 107 (2), 568-615, 2023 | 35 | 2023 |
| Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition N Abatangelo Advances in Nonlinear Analysis 6 (4), 383-405, 2017 | 32 | 2017 |
| Positive powers of the Laplacian: from hypersingular integrals to boundary value problems N Abatangelo, S Jarohs, A Saldaña Commun. Pure Appl. Anal. 17 (3), 899-922, 2018 | 31 | 2018 |
| Integral representation of solutions to higher-order fractional Dirichlet problems on balls N Abatangelo, S Jarohs, A Saldana Communications in Contemporary Mathematics 20 (08), 1850002, 2018 | 30 | 2018 |
| A remark on nonlocal Neumann conditions for the fractional Laplacian N Abatangelo Archiv der Mathematik 114 (6), 699-708, 2020 | 28 | 2020 |
| Green function and Martin kernel for higher-order fractional Laplacians in balls N Abatangelo, S Jarohs, A Saldaña Nonlinear analysis 175, 173-190, 2018 | 27 | 2018 |
| Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions N Abatangelo, S Dipierro, MM Fall, S Jarohs, A Saldaña Discrete Contin. Dyn. Syst. 39 (3), 1205-1235, 2019 | 21 | 2019 |
| On the maximum principle for higher-order fractional Laplacians N Abatangelo, S Jarohs, A Saldaña arXiv preprint arXiv:1607.00929, 2016 | 17 | 2016 |
| A Hopf lemma for the regional fractional Laplacian N Abatangelo, MM Fall, RY Temgoua Annali di Matematica Pura ed Applicata (1923-) 202 (1), 95-113, 2023 | 14 | 2023 |
| Large solutions for fractional Laplacian operators N Abatangelo arXiv preprint arXiv:1511.00571, 2015 | 14 | 2015 |
| Higher-order fractional Laplacians: an overview N Abatangelo Bruno Pini Mathematical Analysis Seminar 12 (1), 53-80, 2021 | 12 | 2021 |
| Fractional Laplacians on ellipsoids N Abatangelo, S Jarohs, A Saldana arXiv preprint arXiv:2005.09514, 2020 | 12 | 2020 |
| A Gentle Invitation to the Fractional World N Abatangelo, S Dipierro, E Valdinoci Springer Nature Switzerland, 2025 | 8 | 2025 |
Alberto SaldañaInstituto de Matemáticas, UNAMVerified email at im.unam.mx
