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Palatucci, Giampiero

Author ID: palatucci.giampiero Recent zbMATH articles by "Palatucci, Giampiero"
Published as: Palatucci, Giampiero
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 3,694 times in 2,702 Documents Cited by Year
Hitchhiker’s guide to the fractional Sobolev spaces. Zbl 1252.46023
Di Nezza, Eleonora; Palatucci, Giampiero; Valdinoci, Enrico
2012
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
Palatucci, Giampiero; Pisante, Adriano
210
2014
Local behavior of fractional \(p\)-minimizers. Zbl 1355.35192
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
198
2016
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian. Zbl 1287.35023
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
165
2013
Fractional \(p\)-eigenvalues. Zbl 1327.35286
Franzina, Giovanni; Palatucci, Giampiero
143
2014
Nonlocal Harnack inequalities. Zbl 1302.35082
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
129
2014
Local and global minimizers for a variational energy involving a fractional norm. Zbl 1278.82022
Palatucci, Giampiero; Savin, Ovidiu; Valdinoci, Enrico
91
2013
Hölder regularity for nonlocal double phase equations. Zbl 1412.35041
De Filippis, Cristiana; Palatucci, Giampiero
76
2019
The obstacle problem for nonlinear integro-differential operators. Zbl 1346.35214
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
44
2016
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
44
2015
Asymptotics of the \(s\)-perimeter as \(s \searrow 0\). Zbl 1275.49083
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico
39
2013
The Dirichlet problem for the \(p\)-fractional Laplace equation. Zbl 1404.35212
Palatucci, Giampiero
37
2018
A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces. Zbl 1312.35092
Palatucci, Giampiero; Pisante, Adriano
33
2015
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations. Zbl 1386.35028
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
29
2017
A singular perturbation result with a fractional norm. Zbl 1107.82019
Garroni, Adriana; Palatucci, Giampiero
18
2006
Developments and perspectives in nonlinear potential theory. Zbl 1436.35163
Mingione, Giuseppe; Palatucci, Giampiero
13
2020
Recent developments in nonlocal theory. Zbl 1398.47001
13
2018
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131
Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick
12
2015
Global estimates for nonlinear parabolic equations. Zbl 1263.35049
Baroni, Paolo; Castro, Agnese Di; Palatucci, Giampiero
10
2013
Fractional regularity for nonlinear elliptic problems with measure data. Zbl 1285.35032
Di Castro, Agnese; Palatucci, Giampiero
7
2013
Nonlinear parabolic problems with lower order terms and related integral estimates. Zbl 1243.35094
Di Castro, Agnese; Palatucci, Giampiero
6
2012
Hölder continuity up to the boundary for a class of fractional obstacle problems. Zbl 1344.35159
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
6
2016
Nonlocal Harnack inequalities in the Heisenberg group. Zbl 1495.35055
Palatucci, Giampiero; Piccinini, Mirco
5
2022
A note on fractional supersolutions. Zbl 1515.35319
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
5
2016
\(p\)-Laplacian problems with critical Sobolev exponent. Zbl 1229.35101
Palatucci, Giampiero
5
2011
\(\Gamma \)-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069
Palatucci, Giampiero; Sire, Yannick
4
2010
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group. Zbl 1506.35026
Manfredini, Maria; Palatucci, Giampiero; Piccinini, Mirco; Polidoro, Sergio
3
2023
Intrinsic geometry and De Giorgi classes for certain anisotropic problems. Zbl 1370.35140
Baroni, Paolo; Di Castro, Agnese; Palatucci, Giampiero
3
2017
Measure data problems, lower-order terms and interpolation effects. Zbl 1305.35057
Di Castro, Agnese; Palatucci, Giampiero
3
2014
Subcritical approximation of the Sobolev quotient and a related concentration result. Zbl 1234.35026
Palatucci, Giampiero
2
2011
Phase transitions with the line tension effect: the super-quadratic case. Zbl 1177.82045
Palatucci, Giampiero
2
2009
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group. Zbl 1506.35026
Manfredini, Maria; Palatucci, Giampiero; Piccinini, Mirco; Polidoro, Sergio
3
2023
Nonlocal Harnack inequalities in the Heisenberg group. Zbl 1495.35055
Palatucci, Giampiero; Piccinini, Mirco
5
2022
Developments and perspectives in nonlinear potential theory. Zbl 1436.35163
Mingione, Giuseppe; Palatucci, Giampiero
13
2020
Hölder regularity for nonlocal double phase equations. Zbl 1412.35041
De Filippis, Cristiana; Palatucci, Giampiero
76
2019
The Dirichlet problem for the \(p\)-fractional Laplace equation. Zbl 1404.35212
Palatucci, Giampiero
37
2018
Recent developments in nonlocal theory. Zbl 1398.47001
13
2018
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations. Zbl 1386.35028
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
29
2017
Intrinsic geometry and De Giorgi classes for certain anisotropic problems. Zbl 1370.35140
Baroni, Paolo; Di Castro, Agnese; Palatucci, Giampiero
3
2017
Local behavior of fractional \(p\)-minimizers. Zbl 1355.35192
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
198
2016
The obstacle problem for nonlinear integro-differential operators. Zbl 1346.35214
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
44
2016
Hölder continuity up to the boundary for a class of fractional obstacle problems. Zbl 1344.35159
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
6
2016
A note on fractional supersolutions. Zbl 1515.35319
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero
5
2016
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
44
2015
A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces. Zbl 1312.35092
Palatucci, Giampiero; Pisante, Adriano
33
2015
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. Zbl 1331.35131
Palatucci, Giampiero; Pisante, Adriano; Sire, Yannick
12
2015
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
Palatucci, Giampiero; Pisante, Adriano
210
2014
Fractional \(p\)-eigenvalues. Zbl 1327.35286
Franzina, Giovanni; Palatucci, Giampiero
143
2014
Nonlocal Harnack inequalities. Zbl 1302.35082
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
129
2014
Measure data problems, lower-order terms and interpolation effects. Zbl 1305.35057
Di Castro, Agnese; Palatucci, Giampiero
3
2014
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian. Zbl 1287.35023
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
165
2013
Local and global minimizers for a variational energy involving a fractional norm. Zbl 1278.82022
Palatucci, Giampiero; Savin, Ovidiu; Valdinoci, Enrico
91
2013
Asymptotics of the \(s\)-perimeter as \(s \searrow 0\). Zbl 1275.49083
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico
39
2013
Global estimates for nonlinear parabolic equations. Zbl 1263.35049
Baroni, Paolo; Castro, Agnese Di; Palatucci, Giampiero
10
2013
Fractional regularity for nonlinear elliptic problems with measure data. Zbl 1285.35032
Di Castro, Agnese; Palatucci, Giampiero
7
2013
Hitchhiker’s guide to the fractional Sobolev spaces. Zbl 1252.46023
Di Nezza, Eleonora; Palatucci, Giampiero; Valdinoci, Enrico
2012
Nonlinear parabolic problems with lower order terms and related integral estimates. Zbl 1243.35094
Di Castro, Agnese; Palatucci, Giampiero
6
2012
\(p\)-Laplacian problems with critical Sobolev exponent. Zbl 1229.35101
Palatucci, Giampiero
5
2011
Subcritical approximation of the Sobolev quotient and a related concentration result. Zbl 1234.35026
Palatucci, Giampiero
2
2011
\(\Gamma \)-convergence of some super quadratic functionals with singular weights. Zbl 1205.82069
Palatucci, Giampiero; Sire, Yannick
4
2010
Phase transitions with the line tension effect: the super-quadratic case. Zbl 1177.82045
Palatucci, Giampiero
2
2009
A singular perturbation result with a fractional norm. Zbl 1107.82019
Garroni, Adriana; Palatucci, Giampiero
18
2006
all top 5

Cited by 2,619 Authors

80 Valdinoci, Enrico
67 Ambrosio, Vincenzo
61 Zhang, Binlin
46 Xiang, Mingqi
44 Dipierro, Serena
33 Molica Bisci, Giovanni
32 Squassina, Marco
29 Tang, Xianhua
27 Rădulescu, Vicenţiu D.
27 Warma, Mahamadi
26 Miyagaki, Olimpio Hiroshi
26 Pucci, Patrizia
24 Chen, Haibo
22 Palatucci, Giampiero
22 Teng, Kaimin
21 Abdellaoui, Boumediene
21 Sreenadh, Konijeti
20 Torres Ledesma, César Enrique
19 Fiscella, Alessio
19 Servadei, Raffaella
18 He, Xiaoming
18 Peral Alonso, Ireneo
18 Salort, Ariel Martin
18 Sire, Yannick
18 Topp, Erwin
17 Repovš, Dušan D.
17 Vazquez, Juan Luis
17 Wang, Bixiang
16 Azroul, Elhoussine
16 Schikorra, Armin
15 Alves, Claudianor Oliveira
15 Choudhuri, Debajyoti
15 De Filippis, Cristiana
15 Fernández Bonder, Julián
15 Giacomoni, Jacques
15 Isernia, Teresa
15 Li, Quanqing
15 Zhang, Jihui
14 Byun, Sun-Sig
14 Cozzi, Matteo
14 Figueiredo, Giovany Malcher
14 Iannizzotto, Antonio
14 Mingione, Giuseppe
14 Rossi, Julio Daniel
14 Wang, Li
13 Antil, Harbir
13 Barrios Barrera, Begoña
13 Benkirane, Abdelmoujib
13 Chen, Wenjing
13 Jarohs, Sven
13 Zhang, Chao
13 Zhao, Fukun
12 Brasco, Lorenzo
12 Chen, Huyuan
12 Chen, Sitong
12 Fall, Mouhamed Moustapha
12 Ge, Bin
12 Savin, Ovidiu V.
12 Shu, Ji
12 Tang, Zhongwei
12 Vecchi, Eugenio
12 Wei, Juncheng
12 Yang, Jianfu
12 Yang, Zhipeng
12 Zhang, Jian
12 Zou, Wenming
11 Gu, Guangze
11 Mosconi, Sunra J. N.
11 Novaga, Matteo
11 Quaas, Alexander
11 Saoudi, Kamel
11 Shang, Xudong
11 Sun, Hongrui
11 Zuo, Jiabin
10 Abatangelo, Nicola
10 Bucur, Claudia
10 de Souza, Manassés X.
10 Do Ó, João M. Bezerra
10 Du, Qiang
10 Feng, Zhaosheng
10 Fu, Yongqiang
10 Kim, Yunho
10 Li, Qi
10 Lin, Yi-Hsuan
10 Lindgren, Erik
10 Luo, Huxiao
10 Peng, Shuangjie
10 Secchi, Simone
10 Thin, Nguyen Van
10 Yang, Jie
9 Bhakta, Mousomi
9 Caraballo Garrido, Tomás
9 Del Pezzo, Leandro M.
9 del Teso, Félix
9 Felmer, Patricio L.
9 Gao, Zu
9 Garain, Prashanta
9 Liang, Sihua
9 Liu, Weiming
9 Medina, Maria
...and 2,519 more Authors
all top 5

Cited in 308 Serials

128 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
107 Calculus of Variations and Partial Differential Equations
92 Journal of Differential Equations
82 Journal of Mathematical Analysis and Applications
82 Communications on Pure and Applied Analysis
65 Complex Variables and Elliptic Equations
64 Journal of Mathematical Physics
61 Discrete and Continuous Dynamical Systems
49 Boundary Value Problems
44 Journal of Functional Analysis
43 Applicable Analysis
41 Discrete and Continuous Dynamical Systems. Series S
40 Advanced Nonlinear Studies
40 Advances in Nonlinear Analysis
39 The Journal of Geometric Analysis
37 Fractional Calculus & Applied Analysis
36 NoDEA. Nonlinear Differential Equations and Applications
35 Applied Mathematics Letters
34 Mathematical Methods in the Applied Sciences
34 Communications in Contemporary Mathematics
33 Mediterranean Journal of Mathematics
32 Annali di Matematica Pura ed Applicata. Serie Quarta
30 Computers & Mathematics with Applications
30 Nonlinearity
29 SIAM Journal on Mathematical Analysis
29 Discrete and Continuous Dynamical Systems. Series B
28 Topological Methods in Nonlinear Analysis
26 Archive for Rational Mechanics and Analysis
25 Electronic Journal of Differential Equations (EJDE)
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
24 Mathematische Nachrichten
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
20 Advances in Mathematics
20 Journal of Elliptic and Parabolic Equations
18 Mathematische Annalen
18 Acta Mathematica Scientia. Series B. (English Edition)
18 Mathematics in Engineering
17 SIAM Journal on Numerical Analysis
17 Communications in Partial Differential Equations
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Journal of Evolution Equations
17 Journal of Pseudo-Differential Operators and Applications
16 Communications in Mathematical Physics
16 AIMS Mathematics
15 Transactions of the American Mathematical Society
15 Potential Analysis
14 Applied Mathematics and Optimization
14 Asymptotic Analysis
14 Nonlinear Analysis. Real World Applications
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
13 Proceedings of the American Mathematical Society
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Journal of Fixed Point Theory and Applications
13 Advances in Calculus of Variations
13 Analysis and Mathematical Physics
12 Rocky Mountain Journal of Mathematics
12 Manuscripta Mathematica
12 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
12 Science China. Mathematics
12 SN Partial Differential Equations and Applications
11 Taiwanese Journal of Mathematics
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Evolution Equations and Control Theory
10 Inverse Problems
10 Journal d’Analyse Mathématique
10 Zeitschrift für Analysis und ihre Anwendungen
10 Revista Matemática Iberoamericana
10 Advances in Differential Equations
10 Advances in Difference Equations
9 Journal of Dynamics and Differential Equations
9 Revista Matemática Complutense
9 Journal of Function Spaces
8 Journal of the Korean Mathematical Society
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Applied Numerical Mathematics
8 Journal of Scientific Computing
8 Stochastic Processes and their Applications
8 Abstract and Applied Analysis
8 Journal of the European Mathematical Society (JEMS)
8 Milan Journal of Mathematics
8 Analysis & PDE
7 Journal of Computational Physics
7 Journal of Computational and Applied Mathematics
7 Results in Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Analysis and Applications (Singapore)
6 Computer Methods in Applied Mechanics and Engineering
6 Studia Mathematica
6 Applied Mathematics and Computation
6 Numerische Mathematik
6 SIAM Journal on Control and Optimization
6 Acta Applicandae Mathematicae
6 Journal of Nonlinear Science
6 Computational and Applied Mathematics
6 Bulletin des Sciences Mathématiques
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Qualitative Theory of Dynamical Systems
...and 208 more Serials
all top 5

Cited in 51 Fields

2,395 Partial differential equations (35-XX)
357 Operator theory (47-XX)
260 Calculus of variations and optimal control; optimization (49-XX)
250 Functional analysis (46-XX)
228 Real functions (26-XX)
162 Numerical analysis (65-XX)
141 Probability theory and stochastic processes (60-XX)
125 Integral equations (45-XX)
121 Global analysis, analysis on manifolds (58-XX)
74 Fluid mechanics (76-XX)
63 Dynamical systems and ergodic theory (37-XX)
63 Statistical mechanics, structure of matter (82-XX)
62 Mechanics of deformable solids (74-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
50 Ordinary differential equations (34-XX)
48 Potential theory (31-XX)
43 Differential geometry (53-XX)
33 Quantum theory (81-XX)
31 Biology and other natural sciences (92-XX)
26 Measure and integration (28-XX)
23 Systems theory; control (93-XX)
15 Approximations and expansions (41-XX)
13 Special functions (33-XX)
11 Information and communication theory, circuits (94-XX)
10 Functions of a complex variable (30-XX)
10 Computer science (68-XX)
9 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
8 Manifolds and cell complexes (57-XX)
8 Optics, electromagnetic theory (78-XX)
7 Topological groups, Lie groups (22-XX)
7 Abstract harmonic analysis (43-XX)
7 Integral transforms, operational calculus (44-XX)
7 Statistics (62-XX)
7 Operations research, mathematical programming (90-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Geophysics (86-XX)
5 Algebraic topology (55-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year