# zbMATH — the first resource for mathematics

## Girardi, Mario

Compute Distance To:
 Author ID: girardi.mario Published as: Girardi, Mario; Girardi, M.
 Documents Indexed: 44 Publications since 1971, including 1 Book
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#### Co-Authors

 3 single-authored 32 Matzeu, Michele 3 Ding, Yanheng 2 Israel, Giorgio 1 Guedes de Figueiredo, Djairo 1 Maschietti, Antonio 1 Mastroeni, Loretta 1 Pacella, Filomena
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#### Serials

 5 Nonlinear Analysis. Theory, Methods & Applications 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Differential and Integral Equations 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Nonlinear Studies 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Economic Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Dynamic Systems and Applications 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Rendiconti di Matematica, VI. Serie
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#### Fields

 22 Dynamical systems and ergodic theory (37-XX) 21 Ordinary differential equations (34-XX) 9 Mechanics of particles and systems (70-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 321 times in 228 Documents Cited by Year
Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques. Zbl 1164.35341
de Figueiredo, Djairo; Girardi, Mario; Matzeu, Michele
2004
Periodic and homoclinic solutions to a class of Hamiltonian systems with the potentials changing sign. Zbl 0771.34031
Ding, Yanheng; Girardi, Mario
1993
Infinitely many homoclinic orbits of a Hamiltonian system with symmetry. Zbl 0938.37034
Ding, Yanheng; Girardi, Mario
1999
Solutions of minimal period for a class of nonconvex Hamiltonian systems and applications to the fixed energy problem. Zbl 0607.70018
Girardi, M.; Matzeu, M.
1986
Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques. Zbl 1076.35035
Girardi, Mario; Matzeu, Michele
2004
Some results on solutions of minimal period to superquadratic Hamiltonian systems. Zbl 0512.70021
Girardi, M.; Matzeu, M.
1983
Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries. Zbl 0582.70019
Girardi, Mario
1984
Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign. Zbl 0821.34041
Girardi, Mario; Matzeu, Michele
1995
Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity. Zbl 0631.58014
Girardi, Mario; Matzeu, Michele
1987
Dual Morse index estimates for periodic solutions of Hamiltonian systems in some nonconvex superquadratic cases. Zbl 0779.34033
Girardi, Mario; Matzeu, Michele
1991
A compactness result for quasilinear elliptic equations by mountain pass techniques. Zbl 1184.35135
Girardi, Mario; Matzeu, Michele
2009
Existence and regularity results for non-negative solutions of some semilinear elliptic variational inequalities via mountain pass techniques. Zbl 0994.49006
Girardi, M.; Mastroeni, L.; Matzeu, M.
2001
Periodic solutions of second order nonautonomous systems with the potentials changing sign. Zbl 0799.58064
Girardi, Mario; Matzeu, Michele
1993
On periodic solutions to the system $$\ddot x(t)+b(t)(V'_1(x(t))+V'_2(x(t)))=0$$ where $$b(\cdot)$$ changes sign and $$V_1,V_2$$ have different superquadratic growths. Zbl 0946.34038
Girardi, M.; Matzeu, M.
1995
Essential critical points of linking type and solutions of minimal period to superquadratic Hamiltonian systems. Zbl 0776.58030
Girardi, Mario; Matzeu, Michele
1992
On periodic solutions of a class of second order nonautonomous systems with nonhomogeneous potentials indefinite in sign. Zbl 0891.34050
Matzeu, M.; Girardi, M.
1997
Solutions of prescribed minimal period to convex and nonconvex Hamiltonian systems. Zbl 0596.70014
Girardi, Mario; Matzeu, Michele
1985
Existence of periodic solutions for some second order quasilinear Hamiltonian systems. Zbl 1150.34016
Girardi, Mario; Matzeu, Michele
2007
Periodic solutions for a second order Hamiltonian system. Zbl 0842.34048
Ding, Y. H.; Girardi, M.
1995
Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems. Zbl 0862.34036
Ding, Yanheng; Girardi, M.
1996
Dual variational methods and Morse index theory for periodic solutions of Hamiltonian systems. Zbl 0649.34047
Girardi, Mario; Matzeu, Michele
1987
Periodic solutions of prescribed minimal period for Hamiltonian systems: An extension of a theorem by Ekeland and Hofer to the non convex case. Zbl 0718.58043
Girardi, Mario; Matzeu, Michele
1988
A compactness result for quasilinear elliptic equations by mountain pass techniques. Zbl 1184.35135
Girardi, Mario; Matzeu, Michele
2009
Existence of periodic solutions for some second order quasilinear Hamiltonian systems. Zbl 1150.34016
Girardi, Mario; Matzeu, Michele
2007
Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques. Zbl 1164.35341
de Figueiredo, Djairo; Girardi, Mario; Matzeu, Michele
2004
Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques. Zbl 1076.35035
Girardi, Mario; Matzeu, Michele
2004
Existence and regularity results for non-negative solutions of some semilinear elliptic variational inequalities via mountain pass techniques. Zbl 0994.49006
Girardi, M.; Mastroeni, L.; Matzeu, M.
2001
Infinitely many homoclinic orbits of a Hamiltonian system with symmetry. Zbl 0938.37034
Ding, Yanheng; Girardi, Mario
1999
On periodic solutions of a class of second order nonautonomous systems with nonhomogeneous potentials indefinite in sign. Zbl 0891.34050
Matzeu, M.; Girardi, M.
1997
Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems. Zbl 0862.34036
Ding, Yanheng; Girardi, M.
1996
Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign. Zbl 0821.34041
Girardi, Mario; Matzeu, Michele
1995
On periodic solutions to the system $$\ddot x(t)+b(t)(V'_1(x(t))+V'_2(x(t)))=0$$ where $$b(\cdot)$$ changes sign and $$V_1,V_2$$ have different superquadratic growths. Zbl 0946.34038
Girardi, M.; Matzeu, M.
1995
Periodic solutions for a second order Hamiltonian system. Zbl 0842.34048
Ding, Y. H.; Girardi, M.
1995
Periodic and homoclinic solutions to a class of Hamiltonian systems with the potentials changing sign. Zbl 0771.34031
Ding, Yanheng; Girardi, Mario
1993
Periodic solutions of second order nonautonomous systems with the potentials changing sign. Zbl 0799.58064
Girardi, Mario; Matzeu, Michele
1993
Essential critical points of linking type and solutions of minimal period to superquadratic Hamiltonian systems. Zbl 0776.58030
Girardi, Mario; Matzeu, Michele
1992
Dual Morse index estimates for periodic solutions of Hamiltonian systems in some nonconvex superquadratic cases. Zbl 0779.34033
Girardi, Mario; Matzeu, Michele
1991
Periodic solutions of prescribed minimal period for Hamiltonian systems: An extension of a theorem by Ekeland and Hofer to the non convex case. Zbl 0718.58043
Girardi, Mario; Matzeu, Michele
1988
Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity. Zbl 0631.58014
Girardi, Mario; Matzeu, Michele
1987
Dual variational methods and Morse index theory for periodic solutions of Hamiltonian systems. Zbl 0649.34047
Girardi, Mario; Matzeu, Michele
1987
Solutions of minimal period for a class of nonconvex Hamiltonian systems and applications to the fixed energy problem. Zbl 0607.70018
Girardi, M.; Matzeu, M.
1986
Solutions of prescribed minimal period to convex and nonconvex Hamiltonian systems. Zbl 0596.70014
Girardi, Mario; Matzeu, Michele
1985
Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries. Zbl 0582.70019
Girardi, Mario
1984
Some results on solutions of minimal period to superquadratic Hamiltonian systems. Zbl 0512.70021
Girardi, M.; Matzeu, M.
1983
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#### Cited by 226 Authors

 12 Tang, Xianhua 10 Long, Yiming 10 Matzeu, Michele 10 Papageorgiou, Nikolaos S. 9 Girardi, Mario 8 Ding, Yanheng 8 Shi, Haiping 8 Zhang, Fubao 8 Zhang, Ziheng 7 An, Tianqing 7 Liu, Chungen 7 Lv, Xiang 7 Motreanu, Dumitru 7 Xu, Junxiang 7 Yuan, Rong 6 Chen, Guanwei 6 Schechter, Martin 6 Zhang, Qingye 5 Deng, Xiaoqing 5 Gasiński, Leszek 5 Liu, Hui 5 Servadei, Raffaella 5 Wang, Jun 4 Aouaoui, Sami 4 Chen, Peng 4 Ding, Jian 4 Faria, Luiz F. O. 4 Guo, Zhiming 4 Lu, Shiping 4 Zhang, Duanzhi 3 Bai, Yunru 3 Ekeland, Ivar 3 Fei, Guihua 3 Figueiredo, Giovany Malcher 3 Jiang, Meiyue 3 Lin, Xiaoyan 3 Liu, Xia 3 Ma, Shiwang 3 Miyagaki, Olimpio Hiroshi 3 Nieto Roig, Juan Jose 3 Rădulescu, Vicenţiu D. 3 Sun, Juntao 3 Szulkin, Andrzej 3 Tang, Chun-Lei 3 Tarantello, Gabriella 3 Vetro, Calogero 3 Vetro, Francesca 3 Wang, Tixiang 3 Zhang, Yuanbiao 2 Agarwal, Ravi P. 2 Ambrosetti, Antonio 2 Barletta, Giuseppina 2 Chen, Haibo 2 Cheng, Gong 2 Sobreira de Araujo Corrêa, Francisco Julio 2 Duan, Huagui 2 Iturriaga, Leonelo 2 Jiang, Jifa 2 Kim, Soon-Kyu 2 Liu, Guanggang 2 Luo, Zhiguo 2 Mugnai, Dimitri 2 Ou, Zengqi 2 Repovš, Dušan D. 2 Shi, Shaoyun 2 Souissi, Chouhaïd 2 Sun, Hongrui 2 Tornatore, Elisabetta 2 Wang, Fanglei 2 Wang, Qi 2 Wang, Wei 2 Wang, Xiaoping 2 Wei, Yuanhong 2 Wei, Yucheng 2 Winkert, Patrick 2 Xiao, Li 2 Yan, Ping 2 Yang, Liu 2 Yang, Minbo 2 Yu, Jian-She 2 Zhang, Quanguo 2 Zhao, Fukun 1 An, Yukun 1 Antonacci, Flavia 1 Arioli, Gianni 1 Avci, Mustafa 1 Averna, Diego 1 Barros, Juan Benito Bernui 1 Bartsch, Thomas J. 1 Batkam, Cyril Joel 1 Benci, Vieri 1 Berestycki, Henri 1 Biagi, Stefano 1 Birindelli, Isabeau 1 Bonanno, Gabriele 1 Boumaraf, Sihem 1 Brock, Friedemann 1 Cabanillas Lapa, Eugeniox 1 Calamai, Alessandro 1 Candito, Pasquale ...and 126 more Authors
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#### Cited in 75 Serials

 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal of Mathematical Analysis and Applications 16 Journal of Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications 7 Applied Mathematics and Computation 7 Abstract and Applied Analysis 6 Nonlinear Analysis. Real World Applications 5 Computers & Mathematics with Applications 5 Applied Mathematics Letters 3 Mathematical Methods in the Applied Sciences 3 Chaos, Solitons and Fractals 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Acta Applicandae Mathematicae 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 Mediterranean Journal of Mathematics 3 Science China. Mathematics 2 Rocky Mountain Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Dynamical Systems 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Function Spaces 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Kyungpook Mathematical Journal 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Aequationes Mathematicae 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Dynamics and Differential Equations 1 Journal of Logic, Language and Information 1 Georgian Mathematical Journal 1 Positivity 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Frontiers of Mathematics in China
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#### Cited in 15 Fields

 127 Dynamical systems and ergodic theory (37-XX) 104 Ordinary differential equations (34-XX) 75 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 21 Operator theory (47-XX) 14 Difference and functional equations (39-XX) 14 Mechanics of particles and systems (70-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 5 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Information and communication theory, circuits (94-XX)