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Author ID: obersnel.franco Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 518 times in 269 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
58
2012
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1207.35145
Obersnel, Franco; Omari, Pierpaolo
55
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
53
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
19
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
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 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
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
Some notes on weakly Whyburn spaces. Zbl 1017.54001
Obersnel, Franco
4
2003
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 Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems. Zbl 1525.34049
Fonda, Alessandro; Klun, Giuliano; Obersnel, Franco; Sfecci, Andrea
3
2022
On the Ambrosetti-Prodi problem for first order scalar periodic ODEs. Zbl 1229.34062
Obersnel, F.; Omari, P.
3
2005
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 Tychonoff-type hypertopologies. Zbl 0990.54011
Dimov, Georgi; Obersnel, Franco; Tironi, Gino
1
2002
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
Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126
Bonheure, Denis; Obersnel, Franco
1
2015
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
3
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
53
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
58
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
19
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
55
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
4
2003
On Tychonoff-type hypertopologies. Zbl 0990.54011
Dimov, Georgi; Obersnel, Franco; Tironi, Gino
1
2002
Products of pseudoradial spaces. Zbl 0821.54003
Obersnel, Franco; Tironi, Gino
1
1995
all top 5

Cited by 246 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
9 Molica Bisci, Giovanni
8 Fonda, Alessandro
8 Lu, Shiping
8 Sovrano, Elisa
8 Xu, Man
7 Lee, Yong-Hoon Lee
7 López-Gómez, Julián
7 Torres, Pedro José
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 Heidarkhani, Shapour
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
...and 146 more Authors
all top 5

Cited in 96 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 NoDEA. Nonlinear Differential Equations and Applications
7 Journal of Fixed Point Theory 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 Topology and its Applications
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 Bulletin of the Korean Mathematical Society
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 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 Computational and Applied Mathematics
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

Citations by Year