Edit Profile (opens in new tab) Obersnel, Franco Co-Author Distance Author ID: obersnel.franco Published as: Obersnel, Franco; Obersnel, F. Documents Indexed: 39 Publications since 1995 Co-Authors: 14 Co-Authors with 32 Joint Publications 176 Co-Co-Authors all top 5 Co-Authors 7 single-authored 25 Omari, Pierpaolo 6 Corsato, Chiara 4 Bonheure, Denis 4 Rivetti, Sabrina 3 Fonda, Alessandro 3 Sfecci, Andrea 3 Tironi, Gino 2 De Coster, Colette 2 Habets, Patrick 2 Mamo, Natnael Gezahegn 1 Coelho, Isabel 1 Dimov, Georgi D. 1 Klun, Giuliano 1 Soranzo, Alessandro all top 5 Serials 4 Discrete and Continuous Dynamical Systems 3 Journal of Differential Equations 3 Mathematica Pannonica 3 Advanced Nonlinear Studies 2 Journal of Mathematical Analysis and Applications 2 Topology and its Applications 2 Questions and Answers in General Topology 2 Differential and Integral Equations 2 Nonlinear Analysis. Real World Applications 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Applied Mathematics Letters 1 Georgian Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Contemporary Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Open Mathematics all top 5 Fields 16 Ordinary differential equations (34-XX) 16 Partial differential equations (35-XX) 9 General topology (54-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 511 times in 265 Documents Cited by ▼ Year ▼ Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023 Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 82 2007 Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. Zbl 1263.34028 Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 57 2012 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1207.35145 Obersnel, Franco; Omari, Pierpaolo 54 2010 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. Zbl 1310.35140 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 52 2013 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015 Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 35 2007 Classical and non-classical sign-changing solutions of an one-dimensional autonomous prescribed curvature equation. Zbl 1140.34322 Obersnel, Franco 26 2007 Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions. Zbl 1240.35131 Obersnel, Franco; Omari, Pierpaolo 25 2009 Positive solutions of elliptic problems with locally oscillating nonlinearities. Zbl 1293.35120 Obersnel, Franco; Omari, Pierpaolo 21 2006 Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions. Zbl 1279.34054 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 18 2012 On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space. Zbl 1305.35083 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 16 2013 Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation. Zbl 1275.34033 Obersnel, Franco; Omari, Pierpaolo 14 2013 Multiple bounded variation solutions of a periodically perturbed sine-curvature equation. Zbl 1234.34020 Obersnel, Franco; Omari, Pierpaolo 12 2011 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 Old and new results for first order periodic ODEs without uniqueness: A comprehensive study by lower and upper solutions. Zbl 1072.34041 Obersnel, Franco; Omari, Pierpaolo 11 2004 Asymmetric Poincaré inequalities and solvability of capillarity problems. Zbl 1328.46033 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 10 2014 The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space. Zbl 1360.35079 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 10 2017 Qualitative analysis of a curvature equation modelling MEMS with vertical loads. Zbl 1454.35163 Corsato, Chiara; De Coster, Colette; Obersnel, Franco; Omari, Pierpaolo 10 2020 The periodic problem for curvature-like equations with asymmetric perturbations. Zbl 1241.34051 Obersnel, Franco; Omari, Pierpaolo 9 2011 A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. Zbl 1374.35187 Soranzo, Alessandro; Omari, Pierpaolo; Obersnel, Franco; Coster, Colette De; Corsato, Chiara 7 2018 Period two implies chaos for a class of ODEs. Zbl 1124.34335 Obersnel, Franco; Omari, Pierpaolo 6 2007 Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation. Zbl 1480.35227 Obersnel, Franco; Omari, Pierpaolo 5 2020 Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1236.35052 Obersnel, Franco; Omari, Pierpaolo 4 2011 On the Ambrosetti-Prodi problem for first order scalar periodic ODEs. Zbl 1229.34062 Obersnel, F.; Omari, P. 3 2005 Some notes on weakly Whyburn spaces. Zbl 1017.54001 Obersnel, Franco 3 2003 Multiple bounded variation solutions of a capillarity problem. Zbl 1306.35049 Obersnel, Franco; Omari, Pierpaolo 2 2011 On a result of C. V. Coffman and W. K. Ziemer about the prescribed mean curvature equation. Zbl 1306.35050 Obersnel, Franco; Omari, Pierpaolo 2 2011 On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems. Zbl 1525.34049 Fonda, Alessandro; Klun, Giuliano; Obersnel, Franco; Sfecci, Andrea 2 2022 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126 Bonheure, Denis; Obersnel, Franco 1 2015 Products of pseudoradial spaces. Zbl 0821.54003 Obersnel, Franco; Tironi, Gino 1 1995 On the periodic Ambrosetti-Prodi problem for a class of ODEs with nonlinearities indefinite in sign. Zbl 1453.34062 Obersnel, Franco; Omari, Pierpaolo 1 2021 A lower/upper solutions result for generalised radial \(p\)-Laplacian boundary value problems. Zbl 1506.34040 Fonda, Alessandro; Mamo, Natnael Gezahegn; Obersnel, Franco; Sfecci, Andrea 1 2023 A lower/upper solutions result for generalised radial \(p\)-Laplacian boundary value problems. Zbl 1506.34040 Fonda, Alessandro; Mamo, Natnael Gezahegn; Obersnel, Franco; Sfecci, Andrea 1 2023 On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems. Zbl 1525.34049 Fonda, Alessandro; Klun, Giuliano; Obersnel, Franco; Sfecci, Andrea 2 2022 On the periodic Ambrosetti-Prodi problem for a class of ODEs with nonlinearities indefinite in sign. Zbl 1453.34062 Obersnel, Franco; Omari, Pierpaolo 1 2021 Qualitative analysis of a curvature equation modelling MEMS with vertical loads. Zbl 1454.35163 Corsato, Chiara; De Coster, Colette; Obersnel, Franco; Omari, Pierpaolo 10 2020 Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation. Zbl 1480.35227 Obersnel, Franco; Omari, Pierpaolo 5 2020 A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. Zbl 1374.35187 Soranzo, Alessandro; Omari, Pierpaolo; Obersnel, Franco; Coster, Colette De; Corsato, Chiara 7 2018 The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space. Zbl 1360.35079 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 10 2017 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126 Bonheure, Denis; Obersnel, Franco 1 2015 Asymmetric Poincaré inequalities and solvability of capillarity problems. Zbl 1328.46033 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 10 2014 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. Zbl 1310.35140 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 52 2013 On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space. Zbl 1305.35083 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 16 2013 Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation. Zbl 1275.34033 Obersnel, Franco; Omari, Pierpaolo 14 2013 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. Zbl 1263.34028 Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 57 2012 Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions. Zbl 1279.34054 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 18 2012 Multiple bounded variation solutions of a periodically perturbed sine-curvature equation. Zbl 1234.34020 Obersnel, Franco; Omari, Pierpaolo 12 2011 The periodic problem for curvature-like equations with asymmetric perturbations. Zbl 1241.34051 Obersnel, Franco; Omari, Pierpaolo 9 2011 Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1236.35052 Obersnel, Franco; Omari, Pierpaolo 4 2011 Multiple bounded variation solutions of a capillarity problem. Zbl 1306.35049 Obersnel, Franco; Omari, Pierpaolo 2 2011 On a result of C. V. Coffman and W. K. Ziemer about the prescribed mean curvature equation. Zbl 1306.35050 Obersnel, Franco; Omari, Pierpaolo 2 2011 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1207.35145 Obersnel, Franco; Omari, Pierpaolo 54 2010 Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions. Zbl 1240.35131 Obersnel, Franco; Omari, Pierpaolo 25 2009 Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023 Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 82 2007 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015 Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 35 2007 Classical and non-classical sign-changing solutions of an one-dimensional autonomous prescribed curvature equation. Zbl 1140.34322 Obersnel, Franco 26 2007 Period two implies chaos for a class of ODEs. Zbl 1124.34335 Obersnel, Franco; Omari, Pierpaolo 6 2007 Positive solutions of elliptic problems with locally oscillating nonlinearities. Zbl 1293.35120 Obersnel, Franco; Omari, Pierpaolo 21 2006 On the Ambrosetti-Prodi problem for first order scalar periodic ODEs. Zbl 1229.34062 Obersnel, F.; Omari, P. 3 2005 Old and new results for first order periodic ODEs without uniqueness: A comprehensive study by lower and upper solutions. Zbl 1072.34041 Obersnel, Franco; Omari, Pierpaolo 11 2004 Some notes on weakly Whyburn spaces. Zbl 1017.54001 Obersnel, Franco 3 2003 Products of pseudoradial spaces. Zbl 0821.54003 Obersnel, Franco; Tironi, Gino 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 243 Authors 26 Omari, Pierpaolo 20 Ma, Ruyun 15 Obersnel, Franco 12 Jebelean, Petru 12 Pan, Hongjing 10 Xing, Ruixiang 9 Corsato, Chiara 9 He, Zhiqian 9 Mawhin, Jean L. 9 Molica Bisci, Giovanni 8 Lu, Shiping 8 Sovrano, Elisa 7 Fonda, Alessandro 7 Lee, Yong-Hoon Lee 7 López-Gómez, Julián 7 Torres, Pedro José 7 Xu, Man 7 Yang, Rui 7 Zanolin, Fabio 6 Allalou, Chakir 6 Alves, Claudianor Oliveira 6 Boscaggin, Alberto 6 De Coster, Colette 6 El Ouaarabi, Mohamed 6 Feltrin, Guglielmo 6 Garrione, Maurizio 6 Melliani, Said 6 Miao, Liangying 6 Serban, Calin-Constantin 6 Wang, Libo 6 Zhou, Zhan 5 Andres, Jan 5 Bereanu, Cristian 5 Bonheure, Denis 5 Dai, Guowei 5 Huang, Shaoyuan 5 Hung, Kuo-Chih 5 Kong, Fanchao 5 Lu, Yanqiong 5 Pei, Minghe 5 Rădulescu, Vicenţiu D. 5 Rivetti, Sabrina 5 Romero, Alfonso 5 Sfecci, Andrea 4 Afrouzi, Ghasem Alizadeh 4 Cheng, Yan-Hsiou 4 Feng, Meiqiang 4 Precup, Radu 4 Sim, Inbo 3 de la Fuente, Daniel 3 Gao, Hongliang 3 Ge, Weigao 3 Gurban, Daniela 3 Li, Jin 3 Liang, Zaitao 3 Ling, Jiaoxiu 3 Su, Xiaoxiao 3 Toader, Rodica 3 Torres Ledesma, César Enrique 3 Zhang, Xuemei 2 Ambrosio, Vincenzo 2 Azzollini, Antonio 2 Bonanno, Gabriele 2 Bueno, Antonio 2 Coelho, Isabel 2 Colasuonno, Francesca 2 Corli, Andrea 2 de Araujo, Anderson Luis Albuquerque 2 Le, Vy Khoi 2 López Camino, Rafael 2 Malaguti, Luisa 2 Mamo, Natnael Gezahegn 2 da Silva Montenegro, Marcelo 2 Moreira dos Santos, Ederson 2 Rodríguez-López, Jorge 2 Shen, Tengfei 2 Shokooh, Saeid 2 Su, Yongfu 2 Tavares, Hugo 2 Wang, Jingjing 2 Wang, Yaning 2 Wang, ZhenGuo 2 Wei, Liping 2 Xin, Yun 2 Yu, Xingchen 2 Zeng, Jhih-Jyun 2 Zhao, Zhongzi 1 Abdeljawad, Thabet 1 Abreu, Rafael dos Reis 1 Agarwal, Ravi P. 1 Alsaedi, Ramzi S. N. 1 Arias, Margarita 1 Barbarski, Paweł 1 Barriga-Acosta, Hector Alonzo 1 Bella, Angelo 1 Bouchez, Vincent 1 Boudjeriou, Tahir 1 Brubaker, Nicholas D. 1 Cai, Yun 1 Campos, Juan ...and 143 more Authors all top 5 Cited in 95 Serials 19 Journal of Differential Equations 19 Boundary Value Problems 17 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Advances in Difference Equations 11 Advanced Nonlinear Studies 8 Communications in Contemporary Mathematics 7 Proceedings of the American Mathematical Society 7 Applied Mathematics Letters 7 Journal of Fixed Point Theory and Applications 6 NoDEA. Nonlinear Differential Equations and Applications 6 Open Mathematics 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series S 4 Mediterranean Journal of Mathematics 4 Advances in Nonlinear Analysis 3 Mathematical Methods in the Applied Sciences 3 Journal of Functional Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Applicable Analysis 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Physica D 2 Asymptotic Analysis 2 The Journal of Geometric Analysis 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Analysis and Applications (Singapore) 2 Fixed Point Theory and Applications 2 São Paulo Journal of Mathematical Sciences 2 AIMS Mathematics 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 General Relativity and Gravitation 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Archiv der Mathematik 1 Fundamenta Mathematicae 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Acta Mathematicae Applicatae Sinica 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Georgian Mathematical Journal 1 Differential Equations and Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematical Biosciences and Engineering 1 Complex Variables and Elliptic Equations 1 Journal of Mathematical Inequalities 1 East Asian Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Analysis and Mathematical Physics 1 Arabian Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Electronic Research Archive all top 5 Cited in 23 Fields 147 Ordinary differential equations (34-XX) 110 Partial differential equations (35-XX) 54 Operator theory (47-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Differential geometry (53-XX) 18 Difference and functional equations (39-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 6 General topology (54-XX) 6 Fluid mechanics (76-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mathematical logic and foundations (03-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year