Edit Profile (opens in new tab) Chiacchio, Francesco Compute Distance To: Compute Author ID: chiacchio.francesco Published as: Chiacchio, Francesco; Chiacchio, F. Documents Indexed: 42 Publications since 1998 Co-Authors: 20 Co-Authors with 36 Joint Publications 357 Co-Co-Authors all top 5 Co-Authors 6 single-authored 14 Brandolini, Barbara 12 Brock, Friedemann 11 Trombetti, Cristina 10 Mercaldo, Anna 5 Alvino, Angelo 4 Ferone, Adele 4 Posteraro, Maria Rosaria 3 Betta, Maria Francesca 2 Di Blasio, Giuseppina 2 Henrot, Antoine 2 Langford, Jeffrey J. 2 Ricciardi, Tonia 1 Ashbaugh, Mark S. 1 Benguria, Rafael D. 1 Cîrstea, Florica-Corina Şt. 1 Dryden, Emily B. 1 Gavitone, Nunzia 1 Krejčiřík, David 1 Monetti, Valeria Marina 1 Nitsch, Carlo all top 5 Serials 3 Journal of Differential Equations 3 Le Matematiche 3 Differential and Integral Equations 3 Communications on Pure and Applied Analysis 2 Journal of Mathematical Analysis and Applications 2 Ricerche di Matematica 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicable Analysis 1 Houston Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Communications in Contemporary Mathematics 1 Journal of Spectral Theory all top 5 Fields 40 Partial differential equations (35-XX) 9 Functional analysis (46-XX) 5 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 226 times in 137 Documents Cited by ▼ Year ▼ Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\). Zbl 1367.49005Alvino, A.; Brock, F.; Chiacchio, F.; Mercaldo, A.; Posteraro, M. R. 18 2017 Weighted isoperimetric inequalities in cones and applications. Zbl 1253.26049Brock, F.; Chiacchio, F.; Mercaldo, A. 15 2012 Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems. Zbl 1321.35117Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 14 2015 A class of degenerate elliptic equations and a Dido’s problem with respect to a measure. Zbl 1156.35048Brock, F.; Chiacchio, F.; Mercaldo, A. 12 2008 Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems. Zbl 1161.35007Betta, M. F.; Chiacchio, F.; Ferone, A. 11 2007 Symmetrization for singular semilinear elliptic equations. Zbl 1364.35096Brandolini, B.; Chiacchio, F.; Trombetti, C. 11 2014 Sharp estimates for eigenfunctions of a Neumann problem. Zbl 1191.35191Brandolini, B.; Chiacchio, F.; Trombetti, C. 10 2009 Comparison results for linear parabolic equations in unbounded domains via Gaussian symmetrization. Zbl 1174.35305Chiacchio, F. 9 2004 Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space. Zbl 1238.35072Chiacchio, F.; Di Blasio, G. 9 2012 A weighted isoperimetric inequality in an orthant. Zbl 1303.26024Brock, F.; Chiacchio, F.; Mercaldo, A. 9 2014 Multiple vortices for a self-dual \(CP (1)\) Maxwell-Chern-Simons model. Zbl 1149.35037Chiacchio, Francesco; Ricciardi, Tonia 9 2007 Local behaviour of singular solutions for nonlinear elliptic equations in divergence form. Zbl 1280.35046Brandolini, B.; Chiacchio, F.; Cîrstea, F. C.; Trombetti, C. 9 2013 On weighted isoperimetric inequalities with non-radial densities. Zbl 1421.51009Alvino, A.; Brock, F.; Chiacchio, Francesco; Mercaldo, A.; Posteraro, M. R. 8 2019 Hardy type inequalities and Gaussian measure. Zbl 1154.46307Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 8 2007 Sharp Poincaré inequalities in a class of non-convex sets. Zbl 1407.35075Brandolini, Barbara; Chiacchio, Francesco; Dryden, Emily B.; Langford, Jeffrey J. 6 2018 Sharp estimates for solutions to elliptic problems with mixed boundary conditions. Zbl 1473.35114Alvino, A.; Chiacchio, F.; Nitsch, C.; Trombetti, C. 6 2021 Some sharp Hardy inequalities on spherically symmetric domains. Zbl 1176.46038Chiacchio, Francesco; Ricciardi, Tonia 6 2009 Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization. Zbl 1173.35089Chiacchio, Francesco 6 2009 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 An isoperimetric inequality for Gauss-like product measures. Zbl 1356.49072Brock, F.; Chiacchio, F.; Mercaldo, A. 5 2016 The isoperimetric problem for a class of non-radial weights and applications. Zbl 1420.39020Alvino, A.; Brock, F.; Chiacchio, F.; Mercaldo, A.; Posteraro, M. R. 4 2019 Steiner symmetrization for an elliptic problem with lower-order terms. Zbl 1150.35024Chiacchio, Francesco 4 2004 Regularity for solutions of nonlinear elliptic equations with natural growth in the gradient. Zbl 0947.35074Chiacchio, Francesco 3 2000 Comparison results for solutions of elliptic problems via Steiner symmetrization. Zbl 1027.35026Chiacchio, F.; Monetti, V. M. 3 2001 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 3 2015 A sharp lower bound for some Neumann eigenvalues of the Hermite operator. Zbl 1299.35218Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 3 2013 An existence result for a nonlinear problem in a limit case. Zbl 1153.35321Chiacchio, Francesco 3 1998 On low eigenvalues of the Laplacian with mixed boundary conditions. Zbl 1220.35102Ashbaugh, Mark S.; Chiacchio, Francesco 3 2011 Estimates for sums of eigenvalues of the free plate via the Fourier transform. Zbl 1423.35269Brandolini, Barbara; Chiacchio, Francesco; Langford, Jeffrey J. 2 2020 Some weighted isoperimetric problems on \({\mathbb{R}}^N_+\) with stable half balls have no solutions. Zbl 1432.51022Brock, F.; Chiacchio, F. 2 2020 Optimal Szegő-Weinberger type inequalities. Zbl 1368.35196Brock, Friedemann; Chiacchio, Francesco; di Blasio, Giuseppina 2 2016 A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere. Zbl 1440.58003Benguria, Rafael D.; Brandolini, Barbara; Chiacchio, Francesco 2 2020 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 2 2016 Some isoperimetric inequalities with respect to monomial weights. Zbl 1468.39012Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, Maria Rosaria 1 2021 New Pólya-Szegö-type inequalities and an alternative approach to comparison results for PDE’s. Zbl 1402.35013Brock, F.; Chiacchio, F.; Ferone, A.; Mercaldo, A. 1 2018 Some remarks on nonlinear elliptic problems involving Hardy potentials. Zbl 1243.35060Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 1 2007 Sharp estimates for solutions to elliptic problems with mixed boundary conditions. Zbl 1473.35114Alvino, A.; Chiacchio, F.; Nitsch, C.; Trombetti, C. 6 2021 Some isoperimetric inequalities with respect to monomial weights. Zbl 1468.39012Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, Maria Rosaria 1 2021 Estimates for sums of eigenvalues of the free plate via the Fourier transform. Zbl 1423.35269Brandolini, Barbara; Chiacchio, Francesco; Langford, Jeffrey J. 2 2020 Some weighted isoperimetric problems on \({\mathbb{R}}^N_+\) with stable half balls have no solutions. Zbl 1432.51022Brock, F.; Chiacchio, F. 2 2020 A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere. Zbl 1440.58003Benguria, Rafael D.; Brandolini, Barbara; Chiacchio, Francesco 2 2020 On weighted isoperimetric inequalities with non-radial densities. Zbl 1421.51009Alvino, A.; Brock, F.; Chiacchio, Francesco; Mercaldo, A.; Posteraro, M. R. 8 2019 The isoperimetric problem for a class of non-radial weights and applications. Zbl 1420.39020Alvino, A.; Brock, F.; Chiacchio, F.; Mercaldo, A.; Posteraro, M. R. 4 2019 Sharp Poincaré inequalities in a class of non-convex sets. Zbl 1407.35075Brandolini, Barbara; Chiacchio, Francesco; Dryden, Emily B.; Langford, Jeffrey J. 6 2018 New Pólya-Szegö-type inequalities and an alternative approach to comparison results for PDE’s. Zbl 1402.35013Brock, F.; Chiacchio, F.; Ferone, A.; Mercaldo, A. 1 2018 Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\). Zbl 1367.49005Alvino, A.; Brock, F.; Chiacchio, F.; Mercaldo, A.; Posteraro, M. R. 18 2017 An isoperimetric inequality for Gauss-like product measures. Zbl 1356.49072Brock, F.; Chiacchio, F.; Mercaldo, A. 5 2016 Optimal Szegő-Weinberger type inequalities. Zbl 1368.35196Brock, Friedemann; Chiacchio, Francesco; di Blasio, Giuseppina 2 2016 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 2 2016 Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems. Zbl 1321.35117Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 14 2015 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 3 2015 Symmetrization for singular semilinear elliptic equations. Zbl 1364.35096Brandolini, B.; Chiacchio, F.; Trombetti, C. 11 2014 A weighted isoperimetric inequality in an orthant. Zbl 1303.26024Brock, F.; Chiacchio, F.; Mercaldo, A. 9 2014 Local behaviour of singular solutions for nonlinear elliptic equations in divergence form. Zbl 1280.35046Brandolini, B.; Chiacchio, F.; Cîrstea, F. C.; Trombetti, C. 9 2013 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 A sharp lower bound for some Neumann eigenvalues of the Hermite operator. Zbl 1299.35218Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 3 2013 Weighted isoperimetric inequalities in cones and applications. Zbl 1253.26049Brock, F.; Chiacchio, F.; Mercaldo, A. 15 2012 Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space. Zbl 1238.35072Chiacchio, F.; Di Blasio, G. 9 2012 On low eigenvalues of the Laplacian with mixed boundary conditions. Zbl 1220.35102Ashbaugh, Mark S.; Chiacchio, Francesco 3 2011 Sharp estimates for eigenfunctions of a Neumann problem. Zbl 1191.35191Brandolini, B.; Chiacchio, F.; Trombetti, C. 10 2009 Some sharp Hardy inequalities on spherically symmetric domains. Zbl 1176.46038Chiacchio, Francesco; Ricciardi, Tonia 6 2009 Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization. Zbl 1173.35089Chiacchio, Francesco 6 2009 A class of degenerate elliptic equations and a Dido’s problem with respect to a measure. Zbl 1156.35048Brock, F.; Chiacchio, F.; Mercaldo, A. 12 2008 Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems. Zbl 1161.35007Betta, M. F.; Chiacchio, F.; Ferone, A. 11 2007 Multiple vortices for a self-dual \(CP (1)\) Maxwell-Chern-Simons model. Zbl 1149.35037Chiacchio, Francesco; Ricciardi, Tonia 9 2007 Hardy type inequalities and Gaussian measure. Zbl 1154.46307Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 8 2007 Some remarks on nonlinear elliptic problems involving Hardy potentials. Zbl 1243.35060Brandolini, Barbara; Chiacchio, Francesco; Trombetti, Cristina 1 2007 Comparison results for linear parabolic equations in unbounded domains via Gaussian symmetrization. Zbl 1174.35305Chiacchio, F. 9 2004 Steiner symmetrization for an elliptic problem with lower-order terms. Zbl 1150.35024Chiacchio, Francesco 4 2004 Comparison results for solutions of elliptic problems via Steiner symmetrization. Zbl 1027.35026Chiacchio, F.; Monetti, V. M. 3 2001 Regularity for solutions of nonlinear elliptic equations with natural growth in the gradient. Zbl 0947.35074Chiacchio, Francesco 3 2000 An existence result for a nonlinear problem in a limit case. Zbl 1153.35321Chiacchio, Francesco 3 1998 all cited Publications top 5 cited Publications all top 5 Cited by 158 Authors 17 Chiacchio, Francesco 12 Brock, Friedemann 12 Mercaldo, Anna 10 Gol’dshtein, Vladimir Mikhailovich 10 Ukhlov, Alexander Dadar-Oolovich 8 Brandolini, Barbara 7 Posteraro, Maria Rosaria 7 Trombetti, Cristina 6 Alvino, Angelo 6 Feo, Filomena 6 Han, Jongmin 5 Nitsch, Carlo 5 Pchelintsev, Valery Anatol’evich 4 Della Pietra, Francesco 4 Ferone, Adele 4 Ferone, Vincenzo 4 Gavitone, Nunzia 4 Langford, Jeffrey J. 4 Rosales, César 3 Benguria, Rafael D. 3 Canino, Annamaria 3 Cianchi, Andrea 3 Cîrstea, Florica-Corina Şt. 3 Di Blasio, Giuseppina 3 Díaz Díaz, Jesús Ildefonso 3 Li, Fengquan 3 Nguyễn Văn Hoàng 3 Pick, Luboš 3 Sciunzi, Berardino 3 Song, Kyungwoo 2 Abreu, Emerson A. M. 2 Cabré, Xavier 2 Cañete, Antonio 2 Chasman, Laura Mercredi 2 Colbois, Bruno 2 Csató, Gyula 2 Durastanti, Riccardo 2 Fernandes, Leandro G. jun. 2 Gómez-Castro, David 2 Hasnaoui, Abdelhalim 2 Henrot, Antoine 2 Hermi, Lotfi 2 Hurri-Syrjānen, Ritva 2 Lee, Youngae 2 Li, Wenbo 2 Lin, Chang-Shou 2 Montoro, Luigi 2 Musil, Vít 2 Pietruska-Pałuba, Katarzyna 2 Provenzano, Luigi 2 Ros-Oton, Xavier 2 Saracco, Giorgio 2 Serra Montolí, Joaquim 2 Tian, Yujuan 1 Alama, Stan 1 Amato, Vincenzo 1 Anoop, Thazhe Veetil 1 Arcoya, David 1 Ashbaugh, Mark S. 1 Benguria, Soledad 1 Brasco, Lorenzo 1 Bronsard, Lia 1 Castro, Katherine 1 Cavallina, Lorenzo 1 Chang, Ting-Ying 1 Chen, Zhiyou 1 Cheng, Haiqing 1 Chern, Jann-Long 1 Chlebicka, Iwona 1 Choe, Kwangseok 1 Chu, Yuming 1 Chung, Soon-Yeong 1 Ciraolo, Giulio 1 Corso, Rosario 1 Deng, Yanlin 1 Di Meglio, Guglielmo 1 Dryden, Emily B. 1 Du, Feng 1 Eichenberg, Constantin 1 Fărcăşeanu, Maria 1 Felli, Veronica 1 Ferrero, Alberto 1 Flood, Stephen P. 1 Gentile, Andrea 1 Grigor’yan, Alexander Asaturovich 1 Hamour, Boussad 1 He, Guoqing 1 Huang, Hsin-Yuan 1 Hurtado, Ana 1 Hwang, Jaeho 1 Jah, Sidi Hamidou 1 Kałamajska, Agnieszka 1 Leng, Tuo 1 Leonardi, Gian Paolo 1 Li, Shan 1 Linde, Helmut 1 Ma, Tengfei 1 Magnanini, Rolando 1 Mao, Jing 1 Martín, Joaquim ...and 58 more Authors all top 5 Cited in 63 Serials 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Differential Equations 7 Journal of Mathematical Analysis and Applications 6 Potential Analysis 6 Calculus of Variations and Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Communications in Partial Differential Equations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 The Journal of Geometric Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal d’Analyse Mathématique 3 Communications in Contemporary Mathematics 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Results in Mathematics 2 Ricerche di Matematica 2 Revista Matemática Iberoamericana 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Georgian Mathematical Journal 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Analysis and Mathematical Physics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Demonstratio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Physica D 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Journal of Spectral Theory 1 Analysis and Geometry in Metric Spaces 1 Advances in Nonlinear Analysis 1 Transactions of A. Razmadze Mathematical Institute 1 Bollettino dell’Unione Matematica Italiana 1 Annales Fennici Mathematici all top 5 Cited in 21 Fields 106 Partial differential equations (35-XX) 28 Functional analysis (46-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Real functions (26-XX) 11 Differential geometry (53-XX) 10 Functions of a complex variable (30-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Measure and integration (28-XX) 6 Quantum theory (81-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year