Follow
Nicola Abatangelo
Nicola Abatangelo
Verified email at unibo.it - Homepage
Title
Cited by
Cited by
Year
Getting acquainted with the fractional Laplacian
N Abatangelo, E Valdinoci
Contemporary research in elliptic PDEs and related topics, 1-105, 2019
1182019
Large -harmonic functions and boundary blow-up solutions for the fractional Laplacian
N Abatangelo
arXiv preprint arXiv:1310.3193, 2013
1102013
A notion of nonlocal curvature
N Abatangelo, E Valdinoci
Numerical Functional Analysis and Optimization 35 (7-9), 793-815, 2014
902014
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
532017
Obstacle problems for integro-differential operators: higher regularity of free boundaries
N Abatangelo, X Ros-Oton
Advances in Mathematics 360, 106931, 2020
372020
An elliptic boundary value problem with fractional nonlinearity
N Abatangelo, M Cozzi
SIAM Journal on Mathematical Analysis 53 (3), 3577-3601, 2021
332021
Integral representation of solutions to higher-order fractional Dirichlet problems on balls
N Abatangelo, S Jarohs, A Saldaña
Communications in Contemporary Mathematics 20 (08), 1850002, 2018
262018
Very large solutions for the fractional Laplacian: towards a fractional Keller–Osserman condition
N Abatangelo
Advances in Nonlinear Analysis 6 (4), 383-405, 2017
262017
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
252023
Green function and Martin kernel for higher-order fractional Laplacians in balls
N Abatangelo, S Jarohs, A Saldaña
Nonlinear analysis 175, 173-190, 2018
252018
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
232018
A remark on nonlocal Neumann conditions for the fractional Laplacian
N Abatangelo
Archiv der Mathematik 114 (6), 699-708, 2020
202020
Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
N Abatangelo, S Dipierro, MM Fall, S Jarohs, A Saldaña
arXiv preprint arXiv:1806.05128, 2018
192018
Positive powers of the Laplacian: from hypersingular integrals to boundary value problems
N Abatangelo, S Jarohs, A Saldaña
arXiv preprint arXiv:1709.00976, 2017
192017
Getting acquainted with the fractional Laplacian, Contemporary research in elliptic PDEs and related topics
N Abatangelo, E Valdinoci
Springer INdAM Ser 33, 1-105, 0
16
On the maximum principle for higher-order fractional Laplacians
N Abatangelo, S Jarohs, A Saldaña
arXiv preprint arXiv:1607.00929, 2016
132016
Large solutions for fractional Laplacian operators
N Abatangelo
arXiv preprint arXiv:1511.00571, 2015
122015
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
92023
Fractional Laplacians on ellipsoids
N Abatangelo, S Jarohs, A Saldana
arXiv preprint arXiv:2005.09514, 2020
92020
Higher-order fractional Laplacians: An overview
N Abatangelo
Bruno Pini Mathematical Analysis Seminar 12 (1), 53-80, 2021
52021
The system can't perform the operation now. Try again later.
Articles 1–20