Edit Profile (opens in new tab) Palatucci, Giampiero Co-Author Distance Author ID: palatucci.giampiero Published as: Palatucci, Giampiero External Links: MGP · ORCID Documents Indexed: 37 Publications since 2006, including 4 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 4 Reviews Co-Authors: 21 Co-Authors with 34 Joint Publications 547 Co-Co-Authors all top 5 Co-Authors 4 single-authored 7 di Castro, Agnese 7 Kuusi, Tuomo 7 Piccinini, Mirco 6 Valdinoci, Enrico 4 Korvenpää, Janne 3 Dipierro, Serena 3 Pisante, Adriano 2 Baroni, Paolo 2 Sire, Yannick 2 Temperini, Letizia 1 Anceschi, Francesca 1 De Filippis, Cristiana 1 Di Nezza, Eleonora 1 Figalli, Alessio 1 Franzina, Giovanni 1 Garroni, Adriana 1 Manfredini, Maria 1 Mingione, Giuseppe 1 Polidoro, Sergio 1 Savin, Ovidiu V. 1 Vincini, Simone all top 5 Serials 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Calculus of Variations and Partial Differential Equations 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Equations 2 Le Matematiche 1 Communications in Mathematical Physics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Convex Analysis 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Journal of Evolution Equations 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Discrete and Continuous Dynamical Systems. Series S 1 Rivista di Matematica della Università di Parma. New Series all top 5 Fields 28 Partial differential equations (35-XX) 11 Operator theory (47-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications 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 2,339 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 2,339 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 cited Publications top 5 cited Publications 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