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Giampiero Palatucci
Giampiero Palatucci
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Hitchhikerʼs guide to the fractional Sobolev spaces
E Di Nezza, G Palatucci, E Valdinoci
Bull. Sci. math. 136, 521-573, 2012
48392012
Local behavior of fractional p-minimizers
A Di Castro, T Kuusi, G Palatucci
Ann. Inst. H. Poincaré Anal. Non Linéaire 33, 1279-1299, 2016
4082016
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
G Palatucci, A Pisante
Calc. Var. Partial Differential Equations 50 (3-4), 799-829, 2014
3812014
Fractional p-eigenvalues
G Franzina, G Palatucci
Riv. Mat. Univ. Parma 5 (2), 373-386, 2014
3232014
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
S Dipierro, G Palatucci, E Valdinoci
Le Matematiche 68 (1), 201-216, 2013
2932013
Nonlocal Harnack inequalities
A Di Castro, T Kuusi, G Palatucci
J. Funct. Anal. 267 (6), 1807–1836, 2014
2712014
Local and global minimizers for a variational energy involving a fractional norm
G Palatucci, O Savin, E Valdinoci
Ann. Mat. Pura Appl. 192 (4), 673-718, 2013
1912013
Hölder regularity for nonlocal double phase equations
C De Filippis, G Palatucci
J. Differential Equations, 2019
1352019
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
S Dipierro, G Palatucci, E Valdinoci
Comm. Math. Phys. 333 (2), 1061-1105, 2015
1162015
The obstacle problem for nonlinear integro-differential operators
J Korvenpää, T Kuusi, G Palatucci
Calc. Var. Partial Differential Equations 55 (3), Art. 63, 2016
1032016
Asymptotics of the -perimeter as
S Dipierro, A Figalli, G Palatucci, E Valdinoci
Discrete Contin. Dyn. Syst. 33 (7), 2777-2790, 2013
882013
The Dirichlet problem for the p-fractional Laplace equation
G Palatucci
Nonlinear Analysis 177, 699-732, 2018
752018
A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces
G Palatucci, A Pisante
Nonlinear Anal. 117, 1-7, 2015
672015
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
J Korvenpää, T Kuusi, G Palatucci
Mathematische Annalen 369, 1443-1489, 2017
592017
A singular perturbation result with a fractional norm
A Garroni, G Palatucci
Variational problems in materials science, 111-126, 2006
322006
Nonlocal Harnack inequalities in the Heisenberg group
G Palatucci, M Piccinini
Calculus of Variations and Partial Differential Equations 61 (5), 185, 2022
282022
Developments and perspectives in Nonlinear Potential Theory
G Mingione, G Palatucci
Nonlinear Anal., 2019
252019
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
G Palatucci, A Pisante, Y Sire
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (3), 819-840, 2015
252015
Recent developments in nonlocal theory
G Palatucci, T Kuusi
De Gruyter, 2018
242018
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group
M Manfredini, G Palatucci, M Piccinini, S Polidoro
J. Geom. Anal. 33 (3), Art. 77, 41pp, 2023
212023
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