Edit Profile (opens in new tab) Valtorta, Daniele Co-Author Distance Author ID: valtorta.daniele Published as: Valtorta, Daniele External Links: MGP · ORCID Documents Indexed: 21 Publications since 2010, including 6 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 16 Joint Publications 241 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Naber, Aaron C. 3 Veronelli, Giona 2 Edelen, Nick 1 Cheeger, Jeff 1 De Lellis, Camillo 1 Hirsch, Jonas 1 Marchese, Andrea 1 Mari, Luciano 1 Pigola, Stefano 1 Spadaro, Emanuele Nunzio 1 Stuvard, Salvatore all top 5 Serials 3 Mathematische Zeitschrift 2 Communications on Pure and Applied Mathematics 2 Transactions of the American Mathematical Society 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tôhoku Mathematical Journal. Second Series 1 Communications in Analysis and Geometry 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) all top 5 Fields 11 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 3 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 297 times in 198 Documents Cited by ▼ Year ▼ Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps. Zbl 1393.58009 Naber, Aaron; Valtorta, Daniele 51 2017 Sharp estimate on the first eigenvalue of the \(p\)-Laplacian. Zbl 1247.35081 Valtorta, Daniele 51 2012 Critical sets of elliptic equations. Zbl 1309.35012 Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 40 2015 Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound. Zbl 1320.58018 Naber, Aaron; Valtorta, Daniele 34 2014 Volume estimates on the critical sets of solutions to elliptic PDEs. Zbl 1376.35021 Naber, Aaron; Valtorta, Daniele 25 2017 Effective Reifenberg theorems in Hilbert and Banach spaces. Zbl 1420.42017 Edelen, Nick; Naber, Aaron; Valtorta, Daniele 24 2019 On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings. Zbl 1272.31012 Mari, Luciano; Valtorta, Daniele 16 2013 The singular structure and regularity of stationary varifolds. Zbl 1460.35143 Naber, Aaron; Valtorta, Daniele 15 2020 Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045 De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele 12 2018 Quantitative regularity for \(p\)-harmonic maps. Zbl 1414.53058 Naber, Aaron; Valtorta, Daniele; Veronelli, Giona 8 2019 Stratification for the singular set of approximate harmonic maps. Zbl 1408.58012 Naber, Aaron; Valtorta, Daniele 7 2018 Energy identity for stationary Yang Mills. Zbl 1478.53038 Naber, Aaron; Valtorta, Daniele 6 2019 Stokes theorem, volume growth and parabolicity. Zbl 1232.26011 Valtorta, Daniele; Veronelli, Giona 4 2011 Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps. Zbl 1443.58010 Hirsch, Jonas; Stuvard, Salvatore; Valtorta, Daniele 2 2019 Reverse Khas’minskii condition. Zbl 1242.53040 Valtorta, Daniele 2 2012 The singular structure and regularity of stationary varifolds. Zbl 1460.35143 Naber, Aaron; Valtorta, Daniele 15 2020 Effective Reifenberg theorems in Hilbert and Banach spaces. Zbl 1420.42017 Edelen, Nick; Naber, Aaron; Valtorta, Daniele 24 2019 Quantitative regularity for \(p\)-harmonic maps. Zbl 1414.53058 Naber, Aaron; Valtorta, Daniele; Veronelli, Giona 8 2019 Energy identity for stationary Yang Mills. Zbl 1478.53038 Naber, Aaron; Valtorta, Daniele 6 2019 Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps. Zbl 1443.58010 Hirsch, Jonas; Stuvard, Salvatore; Valtorta, Daniele 2 2019 Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps. Zbl 1408.49045 De Lellis, Camillo; Marchese, Andrea; Spadaro, Emanuele; Valtorta, Daniele 12 2018 Stratification for the singular set of approximate harmonic maps. Zbl 1408.58012 Naber, Aaron; Valtorta, Daniele 7 2018 Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps. Zbl 1393.58009 Naber, Aaron; Valtorta, Daniele 51 2017 Volume estimates on the critical sets of solutions to elliptic PDEs. Zbl 1376.35021 Naber, Aaron; Valtorta, Daniele 25 2017 Critical sets of elliptic equations. Zbl 1309.35012 Cheeger, Jeff; Naber, Aaron; Valtorta, Daniele 40 2015 Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound. Zbl 1320.58018 Naber, Aaron; Valtorta, Daniele 34 2014 On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings. Zbl 1272.31012 Mari, Luciano; Valtorta, Daniele 16 2013 Sharp estimate on the first eigenvalue of the \(p\)-Laplacian. Zbl 1247.35081 Valtorta, Daniele 51 2012 Reverse Khas’minskii condition. Zbl 1242.53040 Valtorta, Daniele 2 2012 Stokes theorem, volume growth and parabolicity. Zbl 1232.26011 Valtorta, Daniele; Veronelli, Giona 4 2011 all cited Publications top 5 cited Publications all top 5 Cited by 262 Authors 12 Naber, Aaron C. 10 Valtorta, Daniele 9 Badger, Matthew 8 Mari, Luciano 7 Rigoli, Marco 5 Mazzieri, Lorenzo 5 Toro, Tatiana 4 Edelen, Nick 4 Engelstein, Max 4 Hirsch, Jonas 4 Lin, Fang Hua 4 Liu, Hairong 4 McCurdy, Sean 4 Spadaro, Emanuele Nunzio 4 Wang, Kui 3 Agostiniani, Virginia 3 Ali, Akram 3 Azzam, Jonas 3 Bianchini, Bruno 3 Cheeger, Jeff 3 De Lellis, Camillo 3 De Philippis, Guido 3 Deng, Haiyun 3 Focardi, Matteo 3 Gol’dshtein, Vladimir Mikhailovich 3 Li, Xiaolong 3 Nitsch, Carlo 3 Pchelintsev, Valery Anatol’evich 3 Schul, Raanan 3 Seto, Shoo 3 Spolaor, Luca 3 Stuvard, Salvatore 3 Terracini, Susanna 3 Tolsa, Xavier 3 Trombetti, Cristina 3 Ukhlov, Alexander Dadar-Oolovich 3 Velichkov, Bozhidar 3 Wang, Yuzhao 3 Zhu, Jiuyi 2 Ali, Rifaqat 2 Alper, Onur 2 Azami, Shahroud 2 Colombo, Giulio 2 Colombo, Maria 2 Ferone, Vincenzo 2 Fogagnolo, Mattia 2 Ghinassi, Silvia 2 Goering, Max 2 Goffi, Alessandro 2 Guo, Changyu 2 He, Qun 2 Jiang, Wenshuai 2 Jost, Jürgen 2 Kenig, Carlos Eduardo 2 Kim, Sunghan 2 Kolaei, Mohammad Javad Habibi Vosta 2 Lamm, Tobias 2 Li, Yanlin 2 Massaccesi, Annalisa 2 Miśkiewicz, Michał 2 Mofarreh, Fatemah Y. Y. 2 Muratori, Matteo 2 Rivière, Tristan 2 Setti, Alberto G. 2 Soave, Nicola 2 Villa, Michele 2 Wei, Guofang 2 Xia, Qiaoling 2 Xiang, Changlin 2 Yang, Xiaoping 2 Yin, Songting 1 Abdelhakim, Ahmed A. 1 Abolarinwa, Abimbola 1 Agrawal, Ravi P. 1 Albanese, Guglielmo 1 Alías, Luis J. 1 Andrews, Ben 1 Angella, Daniele 1 Araújo, Damião Júnio 1 Ariturk, Sinan 1 Bardi, Martino 1 Beck, Thomas L. 1 Becker-Kahn, Spencer T. 1 Bianchi, Davide 1 Borghini, Stefano 1 Magalhães Brandão, Maria Cristiane 1 Breiner, Christine 1 Bronsard, Lia 1 Bruè, Elia 1 Caroccia, Marco 1 Catino, Giovanni 1 Chen, Fan 1 Chen, Hang 1 Chen, Min 1 Chlebicka, Iwona 1 Cirant, Marco 1 Ciraolo, Giulio 1 Clozeau, Nicolas 1 Colbois, Bruno 1 Collins, Tristan Clifford ...and 162 more Authors all top 5 Cited in 81 Serials 15 Calculus of Variations and Partial Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 The Journal of Geometric Analysis 7 Transactions of the American Mathematical Society 6 Archive for Rational Mechanics and Analysis 6 Annals of Mathematics. Second Series 5 Journal of Functional Analysis 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 4 Journal of Mathematical Analysis and Applications 4 Advances in Mathematics 4 Manuscripta Mathematica 4 Mathematische Annalen 4 Revista Matemática Iberoamericana 4 Communications on Pure and Applied Analysis 3 Communications on Pure and Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Inventiones Mathematicae 3 Differential Geometry and its Applications 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Vietnam Journal of Mathematics 3 Analysis & PDE 3 Science China. Mathematics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Inequalities and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Oberwolfach Reports 2 Analysis and Geometry in Metric Spaces 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Real Analysis Exchange 1 Publicacions Matemàtiques 1 Aequationes Mathematicae 1 Journal of Partial Differential Equations 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Geometry & Topology 1 Interfaces and Free Boundaries 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Advances in Calculus of Variations 1 Set-Valued and Variational Analysis 1 Forum of Mathematics, Sigma 1 Complex Analysis and its Synergies 1 Journal of Function Spaces 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering all top 5 Cited in 31 Fields 110 Partial differential equations (35-XX) 90 Differential geometry (53-XX) 61 Global analysis, analysis on manifolds (58-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 24 Measure and integration (28-XX) 18 Potential theory (31-XX) 14 Functional analysis (46-XX) 11 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Quantum theory (81-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year