Edit Profile (opens in new tab) Ambrosetti, Antonio Compute Distance To: Compute Author ID: ambrosetti.antonio Published as: Ambrosetti, Antonio; Ambrosetti, A. Homepage: http://www.math.sissa.it/users/antonio-ambrosetti External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 141 Publications since 1968, including 11 Books 8 Contributions as Editor Co-Authors: 48 Co-Authors with 109 Joint Publications 1,147 Co-Co-Authors all top 5 Co-Authors 38 single-authored 15 Coti Zelati, Vittorio 15 Malchiodi, Andrea 8 Arcoya, David 8 Mancini, Giovanni 7 Badiale, Marino 6 Garcia-Azorero, Jesús 6 Peral Alonso, Ireneo 5 Ekeland, Ivar 5 Prodi, Giovanni 5 Ruiz, David 4 Ahmad, Shair 4 Struwe, Michael 3 Bessi, Ugo 3 Colorado, Eduardo 3 Li, YanYan 3 Ni, Wei-Ming 3 Rabinowitz, Paul Henry 2 Berti, Massimiliano 2 Calahorrano, Marco 2 Cerami, Giovanna 2 Chang, Kung-Ching 2 Cingolani, Silvia 2 Dobarro, Fernando Ruben 2 Felli, Veronica 2 Gámez Ruiz, José Luis 2 Marino, Antonio 2 Wang, Zhi-Qiang 1 Amann, Herbert 1 Benci, Vieri 1 Bertotti, Maria Letizia 1 Brézis, Haïm 1 Buffoni, Boris 1 Carminati, Carlo 1 Dell’Antonio, Gian Fausto 1 Fučik, Svatopluk 1 Gori, Franco 1 Long, Yiming 1 Lu, Guozhen 1 Lupo, Daniela 1 Roberto, Lucchetti E. 1 Sbordone, Carlo 1 Secchi, Simone 1 Srikanth, P. N. 1 Tanaka, Kazunaga 1 Turner, Robert E. L. 1 Vitillaro, Enzo 1 Yang, Jianfu 1 Zehnder, Eduard J. all top 5 Serials 6 Journal of Differential Equations 6 Journal of Functional Analysis 6 Rendiconti del Seminario Matematico della Università di Padova 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Ricerche di Matematica 5 Differential and Integral Equations 4 Archive for Rational Mechanics and Analysis 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Advanced Nonlinear Studies 4 Nonlinear Analysis. Theory, Methods & Applications 3 Mathematische Zeitschrift 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete and Continuous Dynamical Systems 3 Bollettino della Unione Matematica Italiana. Series V. A 3 Unitext 3 Bollettino dell’Unione Matematica Italiana. Series IX 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical and Physical Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Cambridge Studies in Advanced Mathematics 2 Progress in Nonlinear Differential Equations and Their Applications 1 Communications in Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Commentationes Mathematicae Universitatis Carolinae 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Calculus of Variations and Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Lecture Notes in Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Progress in Mathematics 1 Journal of Fixed Point Theory and Applications 1 La Matematica nella Società e nella Cultura. Serie I 1 De Gruyter Textbook all top 5 Fields 88 Partial differential equations (35-XX) 36 Global analysis, analysis on manifolds (58-XX) 35 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 21 Operator theory (47-XX) 18 Mechanics of particles and systems (70-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Differential geometry (53-XX) 6 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 7,726 times in 5,472 Documents Cited by ▼ Year ▼ Dual variational methods in critical point theory and applications. Zbl 0273.49063Ambrosetti, Antonio; Rabinowitz, Paul H. 2,339 1973 Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna 614 1994 Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042Ambrosetti, A.; Badiale, M.; Cingolani, S. 285 1997 Multiple bound states for the Schrödinger-Poisson problem. Zbl 1188.35171Ambrosetti, Antonio; Ruiz, David 246 2008 On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0288.35020Ambrosetti, A.; Prodi, G. 230 1972 Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014Ambrosetti, Antonio; Colorado, Eduardo 220 2007 A primer of nonlinear analysis. Zbl 0781.47046Ambrosetti, A.; Prodi, G. 179 1992 Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004Ambrosetti, Antonio; Malchiodi, Andrea 165 2006 Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea 158 2005 Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052Ambrosetti, Antonio; Malchiodi, Andrea 154 2007 On Schrödinger-Poisson systems. Zbl 1181.35257Ambrosetti, Antonio 152 2008 Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107Ambrosetti, A.; Malchiodi, A.; Secchi, S. 146 2001 Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo 138 1996 Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112Ambrosetti, Antonio; Colorado, Eduardo 131 2006 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 116 2003 Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics. Zbl 0938.35056Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 95 1999 Periodic solutions of singular Lagrangian systems. Zbl 0785.34032Ambrosetti, Antonio; Coti Zelati, Vittorio 94 1993 A primer of nonlinear analysis. Zbl 0818.47059Ambrosetti, A.; Prodi, G. 94 1995 Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David 78 2008 Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015Ambrosetti, A.; Colorado, E.; Ruiz, D. 76 2007 Positive solutions of asymptotically linear elliptic eigenvalue problems. Zbl 0433.35026Ambrosetti, A.; Hess, P. 70 1980 Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087Ambrosetti, A.; Wang, Z.-Q. 70 2005 Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018Ambrosetti, Antonio; Coti Zelati, Vittorio 69 1993 Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043Ambrosetti, Antonio; Badiale, Marino 68 1998 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 65 2004 Critical points and nonlinear variational problems. Zbl 0766.49006Ambrosetti, Antonio 65 1992 Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082Ambrosetti, A.; Malchiodi, A.; Ruiz, D. 60 2006 Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni 59 1978 The dual variational principle and elliptic problems with discontinuous nonlinearities. Zbl 0687.35033Ambrosetti, A.; Badiale, M. 59 1989 Solutions of minimal period for a class of convex Hamiltonian systems. Zbl 0466.70022Ambrosetti, Antonio; Mancini, Giovanni 54 1981 Analisi non lineare. I quaderno. Zbl 0352.47001Prodi, G.; Ambrosetti, A. 54 1973 Sharp nonuniqueness results for some nonlinear problems. Zbl 0433.35025Ambrosetti, Antonio; Mancini, Giovanni 53 1979 Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030Ambrosetti, A.; Arcoya, D.; Buffoni, B. 52 1994 Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012Ambrosetti, A.; Struwe, M. 50 1989 Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Zbl 0174.46001Ambrosetti, A. 50 1968 A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\). Zbl 0596.35043Ambrosetti, A.; Struwe, M. 48 1986 Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029Ambrosetti, Antonio; Badiale, Marino 47 1998 Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue. Zbl 0393.35032Ambrosetti, Antonio; Mancini, Giovanni 46 1978 Critical points with lack of compactness and singular dynamical systems. Zbl 0642.58017Ambrosetti, Antonio; Coti Zelati, Vittorio 45 1987 Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033Ambrosetti, Antonio; Wang, Zhi-Qiang 44 2003 Some discontinuous variational problems. Zbl 0728.35037Ambrosetti, A.; Turner, R. E. L. 41 1988 Symmetry breaking in Hamiltonian systems. Zbl 0606.58043Ambrosetti, A.; Coti Zelati, V.; Ekeland, I. 41 1987 Closed orbits of fixed energy for singular Hamiltonian systems. Zbl 0737.70008Ambrosetti, Antonio; Coti Zelati, Vittorio 36 1990 Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part. Zbl 0375.35024Ambrosetti, Antonio; Mancini, Giovanni 33 1978 Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106Ambrosetti, Antonio; Malchiodi, Andrea 31 2007 Global branching for discontinuous problems. Zbl 0732.35101Ambrosetti, A.; Calahorrano, M.; Dobarro, F. 30 1990 On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea 30 2002 Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032Ambrosetti, Antonio; Coti Zelati, Vittorio 30 1989 Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 27 2000 An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001Ambrosetti, Antonio; Arcoya, David 26 2011 Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094Ambrosetti, Antonio; Arcoya, David 26 2017 On a class of nonlinear Dirichlet problems with multiple solutions. Zbl 0554.35046Ambrosetti, Antonio; Lupo, Daniela 24 1984 Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021Ambrosetti, Antonio 23 2008 Homoclinics for second order conservative systems. Zbl 0804.34046Ambrosetti, A.; Bertotti, M. L. 22 1992 On the existence of multiple solutions for a class of nonlinear boundary value problems. Zbl 0273.35037Ambrosetti, Antonio 22 1973 Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013Ambrosetti, Antonio; Coti Zelati, Vittorio 22 1987 Branching points for a class of variational operators. Zbl 0931.47051Ambrosetti, Antonio 20 1998 A multiplicity result for the Yamabe problem on \(S^n\). Zbl 0949.53028Ambrosetti, Antonio; Malchiodi, Andrea 20 1999 Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials. Zbl 1126.35059Ambrosetti, A.; Ruiz, D. 20 2006 A note on the existence of multiple brake orbits. Zbl 0811.70015Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 19 1993 Closed orbits of fixed energy for a class of \(N\)-body problems. Zbl 0757.70007Ambrosetti, A.; Coti-Zelati, V. 19 1992 Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049Ambrosetti, A.; Garcia-Azorero, J.; Peral, I. 18 2000 Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039Ambrosetti, A.; Gámez, J. L. 15 1997 \(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004Ambrosetti, Antonio; Sbordone, Carlo 15 1976 Elliptic equations with jumping nonlinearities. Zbl 0589.35043Ambrosetti, Antonio 13 1984 On the symmetric scalar curvature problem on \(S^n\). Zbl 1006.35044Ambrosetti, Antonio; Malchiodi, Andrea 13 2001 On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories. Zbl 0492.70018Ambrosetti, Antonio; Mancini, Giovanni 13 1982 On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0299.35043Ambrosetti, Antonio; Prodi, Giovanni 13 1973 Non-collision periodic solutions for a class of symmetric 3-body type problems. Zbl 0829.70006Ambrosetti, Antonio; Coti Zelati, Vittorio 12 1994 Multiplicité des orbites homoclines pour des systèmes conservatifs. (Multiple homoclinic orbits for a class of conservative systems). Zbl 0780.49008Ambrosetti, Antonio; Coti Zelati, Vittorio 12 1992 Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042Ambrosetti, Antonio; Arcoya, David 12 2016 Quasilinear equations with a multiple bifurcation. Zbl 0879.35021Ambrosetti, A.; Azorero, J. G.; Peral, I. 11 1997 Non-collision orbits for a class of Keplerian-like potentials. Zbl 0667.58055Ambrosetti, Antonio; Coti Zelati, Vittorio 11 1988 A free boundary problem and a related semilinear equation. Zbl 0458.35097Ambrosetti, Antonio; Mancini, Giovanni 9 1980 On a quasilinear problem at strong resonance. Zbl 0859.35030Ambrosetti, Antonio; Arcoya, David 9 1995 Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042Ambrosetti, Antonio; Badiale, Marino 9 1996 Asymmetric bound states of differential equations in nonlinear optics. Zbl 0922.34020Ambrosetti, A.; Arcoya, D.; Gámez, J. L. 9 1998 Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 9 2001 On some free boundary problems. Zbl 0477.35084Ambrosetti, Antonio; Mancini, Giovanni 9 1981 Asymptotic behaviour in planar vortex theory. Zbl 0709.76027Ambrosetti, Antonio; Yang, Jianfu 8 1990 Periodic motions of conservative systems with singular potentials. Zbl 0821.34036Ambrosetti, Antonio; Struwe, Michael 6 1994 Multiple closed orbits for perturbed Keplerian problems. Zbl 0759.34033Ambrosetti, A.; Bessi, U. 6 1992 Some remarks on the buckling problem for a thin clamped shell. Zbl 0303.35036Ambrosetti, Antonio 5 1974 Esistenza di infinite soluzioni per problemi non lineari in assenza di parametro. Zbl 0249.35030Ambrosetti, Antonio 5 1972 Addendum to: Closed orbits of fixed energy for a class of N-body problems. Zbl 0771.70010Ambrosetti, A.; Coti Zelati, V. 4 1992 Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo 4 1994 Solutions périodiques sans collision pour une classe de potentiels de type Keplerien. (Non-collision orbits for a class of Keplerian potentials). Zbl 0639.34038Ambrosetti, Antonio; Coti Zelati, Vittorio 4 1987 Differential equations with multiple solutions and nonlinear functional analysis. Zbl 0526.34010Ambrosetti, Antonio 4 1983 Scalar curvature under boundary conditions. Zbl 0969.58005Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea 4 2000 Remarks on the Grad-Shafranov equation. Zbl 0772.35085Ambrosetti, A.; Calahorrano, M.; Dobarro, F. 4 1990 Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 4 2002 On the exact number of positive solutions of convex nonlinear problems. Zbl 0391.35031Ambrosetti, Antonio 3 1978 Superlinear elliptic problems and the dual principle in critical point theory. Zbl 0581.35020Ambrosetti, A.; Srikanth, P. N. 3 1984 Observations on global inversion theorems. (Osservazioni sui teoremi di inversione globale.) Zbl 1217.47106Ambrosetti, Antonio 3 2011 Multiplicity results for the Yamabe problem on \(S^n\). Zbl 1063.53041Ambrosetti, Antonio 3 2002 Semiclassical states of nonlinear Schrödinger equations with bounded potentials. Zbl 0872.35098Ambrosetti, Antonio; Badiale, Marino; Cingolani, Silvia 3 1996 Systems of nonlinear Schrödinger equations. A survey. Zbl 1167.35362Ambrosetti, Antonio 3 2009 A note on nonlinear Schrödinger systems: existence of \(a\)-symmetric solutions. Zbl 1113.34023Ambrosetti, Antonio 3 2006 Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037Ambrosetti, Antonio; Berti, Massimiliano 3 1998 Multiple periodic trajectories in a relativistic gravitational field. Zbl 0725.34038Ambrosetti, A.; Bessi, U. 3 1990 Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094Ambrosetti, Antonio; Arcoya, David 26 2017 Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042Ambrosetti, Antonio; Arcoya, David 12 2016 A textbook on ordinary differential equations. 2nd edition. Zbl 1337.34001Ahmad, Shair; Ambrosetti, Antonio 1 2015 A textbook on ordinary differential equations. Zbl 1288.34001Ahmad, Shair; Ambrosetti, Antonio 1 2014 An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001Ambrosetti, Antonio; Arcoya, David 26 2011 Observations on global inversion theorems. (Osservazioni sui teoremi di inversione globale.) Zbl 1217.47106Ambrosetti, Antonio 3 2011 Systems of nonlinear Schrödinger equations. A survey. Zbl 1167.35362Ambrosetti, Antonio 3 2009 Multiple bound states for the Schrödinger-Poisson problem. Zbl 1188.35171Ambrosetti, Antonio; Ruiz, David 246 2008 On Schrödinger-Poisson systems. Zbl 1181.35257Ambrosetti, Antonio 152 2008 Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David 78 2008 Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021Ambrosetti, Antonio 23 2008 Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014Ambrosetti, Antonio; Colorado, Eduardo 220 2007 Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052Ambrosetti, Antonio; Malchiodi, Andrea 154 2007 Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015Ambrosetti, A.; Colorado, E.; Ruiz, D. 76 2007 Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106Ambrosetti, Antonio; Malchiodi, Andrea 31 2007 Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004Ambrosetti, Antonio; Malchiodi, Andrea 165 2006 Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112Ambrosetti, Antonio; Colorado, Eduardo 131 2006 Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082Ambrosetti, A.; Malchiodi, A.; Ruiz, D. 60 2006 Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials. Zbl 1126.35059Ambrosetti, A.; Ruiz, D. 20 2006 A note on nonlinear Schrödinger systems: existence of \(a\)-symmetric solutions. Zbl 1113.34023Ambrosetti, Antonio 3 2006 Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea 158 2005 Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087Ambrosetti, A.; Wang, Z.-Q. 70 2005 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 65 2004 Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1225.35213Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea 2 2004 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 116 2003 Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033Ambrosetti, Antonio; Wang, Zhi-Qiang 44 2003 On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea 30 2002 Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 4 2002 Multiplicity results for the Yamabe problem on \(S^n\). Zbl 1063.53041Ambrosetti, Antonio 3 2002 Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107Ambrosetti, A.; Malchiodi, A.; Secchi, S. 146 2001 On the symmetric scalar curvature problem on \(S^n\). Zbl 1006.35044Ambrosetti, Antonio; Malchiodi, Andrea 13 2001 Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 9 2001 Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 27 2000 Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049Ambrosetti, A.; Garcia-Azorero, J.; Peral, I. 18 2000 Scalar curvature under boundary conditions. Zbl 0969.58005Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea 4 2000 Applications of critical point theory to variational problems on \(\mathbb{R}^n\). Zbl 0965.35053Ambrosetti, Antonio 1 2000 A note on the scalar curvature problem in the presence of symmetries. Zbl 1008.53038Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea 1 2000 Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics. Zbl 0938.35056Ambrosetti, A.; Garcia Azorero, J.; Peral, I. 95 1999 A multiplicity result for the Yamabe problem on \(S^n\). Zbl 0949.53028Ambrosetti, Antonio; Malchiodi, Andrea 20 1999 Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043Ambrosetti, Antonio; Badiale, Marino 68 1998 Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029Ambrosetti, Antonio; Badiale, Marino 47 1998 Branching points for a class of variational operators. Zbl 0931.47051Ambrosetti, Antonio 20 1998 Asymmetric bound states of differential equations in nonlinear optics. Zbl 0922.34020Ambrosetti, A.; Arcoya, D.; Gámez, J. L. 9 1998 Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037Ambrosetti, Antonio; Berti, Massimiliano 3 1998 Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042Ambrosetti, A.; Badiale, M.; Cingolani, S. 285 1997 Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039Ambrosetti, A.; Gámez, J. L. 15 1997 Quasilinear equations with a multiple bifurcation. Zbl 0879.35021Ambrosetti, A.; Azorero, J. G.; Peral, I. 11 1997 Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo 138 1996 Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042Ambrosetti, Antonio; Badiale, Marino 9 1996 Semiclassical states of nonlinear Schrödinger equations with bounded potentials. Zbl 0872.35098Ambrosetti, Antonio; Badiale, Marino; Cingolani, Silvia 3 1996 A primer of nonlinear analysis. Zbl 0818.47059Ambrosetti, A.; Prodi, G. 94 1995 On a quasilinear problem at strong resonance. Zbl 0859.35030Ambrosetti, Antonio; Arcoya, David 9 1995 Variational methods and nonlinear problems: Classical results and recent advances. Zbl 0824.58018Ambrosetti, Antonio 1 1995 Variational and local methods in the study of Hamiltonian systems. Proceedings of the workshop, Trieste, Italy, October 24–28, 1994 and the school, Trieste, Italy, 1994. Zbl 0936.00033 1 1995 Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna 614 1994 Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030Ambrosetti, A.; Arcoya, D.; Buffoni, B. 52 1994 Non-collision periodic solutions for a class of symmetric 3-body type problems. Zbl 0829.70006Ambrosetti, Antonio; Coti Zelati, Vittorio 12 1994 Periodic motions of conservative systems with singular potentials. Zbl 0821.34036Ambrosetti, Antonio; Struwe, Michael 6 1994 Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo 4 1994 Periodic solutions of singular Lagrangian systems. Zbl 0785.34032Ambrosetti, Antonio; Coti Zelati, Vittorio 94 1993 Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018Ambrosetti, Antonio; Coti Zelati, Vittorio 69 1993 A note on the existence of multiple brake orbits. Zbl 0811.70015Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 19 1993 A primer of nonlinear analysis. Zbl 0781.47046Ambrosetti, A.; Prodi, G. 179 1992 Critical points and nonlinear variational problems. Zbl 0766.49006Ambrosetti, Antonio 65 1992 Homoclinics for second order conservative systems. Zbl 0804.34046Ambrosetti, A.; Bertotti, M. L. 22 1992 Closed orbits of fixed energy for a class of \(N\)-body problems. Zbl 0757.70007Ambrosetti, A.; Coti-Zelati, V. 19 1992 Multiplicité des orbites homoclines pour des systèmes conservatifs. (Multiple homoclinic orbits for a class of conservative systems). Zbl 0780.49008Ambrosetti, Antonio; Coti Zelati, Vittorio 12 1992 Multiple closed orbits for perturbed Keplerian problems. Zbl 0759.34033Ambrosetti, A.; Bessi, U. 6 1992 Addendum to: Closed orbits of fixed energy for a class of N-body problems. Zbl 0771.70010Ambrosetti, A.; Coti Zelati, V. 4 1992 Nonlinear analysis. A tribute in honour of Giovanni Prodi. Zbl 0830.00011 1 1991 Bifurcation of periodic solutions for Keplerian problems. Zbl 0726.70003Ambrosetti, Antonio; Bessi, Ugo 1 1991 Closed orbits of fixed energy for singular Hamiltonian systems. Zbl 0737.70008Ambrosetti, Antonio; Coti Zelati, Vittorio 36 1990 Global branching for discontinuous problems. Zbl 0732.35101Ambrosetti, A.; Calahorrano, M.; Dobarro, F. 30 1990 Asymptotic behaviour in planar vortex theory. Zbl 0709.76027Ambrosetti, Antonio; Yang, Jianfu 8 1990 Remarks on the Grad-Shafranov equation. Zbl 0772.35085Ambrosetti, A.; Calahorrano, M.; Dobarro, F. 4 1990 Multiple periodic trajectories in a relativistic gravitational field. Zbl 0725.34038Ambrosetti, A.; Bessi, U. 3 1990 Periodic solutions of a class of Hamiltonian systems with singularities. Zbl 0708.34031Ambrosetti, Antonio; Ekeland, Ivar 1 1990 The dual variational principle and elliptic problems with discontinuous nonlinearities. Zbl 0687.35033Ambrosetti, A.; Badiale, M. 59 1989 Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012Ambrosetti, A.; Struwe, M. 50 1989 Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032Ambrosetti, Antonio; Coti Zelati, Vittorio 30 1989 Existence of steady vortex rings in an ideal fluid. Zbl 0709.35081Ambrosetti, Antonio; Struwe, Michael 1 1989 Perturbation results for a class of singular Hamiltonian systems. Zbl 0742.58047Ambrosetti, Antonio; Ekeland, Ivar 1 1989 Some discontinuous variational problems. Zbl 0728.35037Ambrosetti, A.; Turner, R. E. L. 41 1988 Non-collision orbits for a class of Keplerian-like potentials. Zbl 0667.58055Ambrosetti, Antonio; Coti Zelati, Vittorio 11 1988 Oscillations non linéaires pour des problèmes de la Mécaniques Céleste. (Nonlinear oscillations for a class of problems arising in celestial mechanics). Zbl 0653.70013Ambrosetti, Antonio; Coti Zelati, Vittorio 2 1988 Mathematical economics, Lectures given at the 2nd 1986 session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 25 - July 3, 1986. Zbl 0638.00042 1 1988 Critical points with lack of compactness and singular dynamical systems. Zbl 0642.58017Ambrosetti, Antonio; Coti Zelati, Vittorio 45 1987 Symmetry breaking in Hamiltonian systems. Zbl 0606.58043Ambrosetti, A.; Coti Zelati, V.; Ekeland, I. 41 1987 Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013Ambrosetti, Antonio; Coti Zelati, Vittorio 22 1987 Solutions périodiques sans collision pour une classe de potentiels de type Keplerien. (Non-collision orbits for a class of Keplerian potentials). Zbl 0639.34038Ambrosetti, Antonio; Coti Zelati, Vittorio 4 1987 Periodic solutions of Hamiltonian systems and related topics. (Proceedings of the NATO Advanced Research Workshop on Periodic solutions of Hamiltonian Systems and Related Topics, Il Ciocco, Italy, October 13- 17, 1986). Zbl 0621.00013 1 1987 Periodic solutions of singular dynamical systems. Zbl 0632.34042Ambrosetti, Antonio; Coti Zelati, Vittorio 1 1987 A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\). Zbl 0596.35043Ambrosetti, A.; Struwe, M. 48 1986 Nonlinear oscillations with minimal period. Zbl 0666.58020Ambrosetti, Antonio 1 1986 On a class of nonlinear Dirichlet problems with multiple solutions. Zbl 0554.35046Ambrosetti, Antonio; Lupo, Daniela 24 1984 Elliptic equations with jumping nonlinearities. Zbl 0589.35043Ambrosetti, Antonio 13 1984 Superlinear elliptic problems and the dual principle in critical point theory. Zbl 0581.35020Ambrosetti, A.; Srikanth, P. N. 3 1984 Existence and multiplicity results for some classes of nonlinear problems. Zbl 0568.35008Ambrosetti, Antonio 1 1984 Differential equations with multiple solutions and nonlinear functional analysis. Zbl 0526.34010Ambrosetti, Antonio 4 1983 Recent advances in the study of the existence of periodic orbits of Hamiltonian systems. Zbl 0565.70013Ambrosetti, Antonio 1 1983 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,391 Authors 134 Papageorgiou, Nikolaos S. 90 Rădulescu, Vicenţiu D. 76 Alves, Claudianor Oliveira 71 Tang, Xianhua 62 Miyagaki, Olimpio Hiroshi 55 Figueiredo, Giovany Malcher 55 Zou, Wenming 54 Wang, Zhi-Qiang 53 Wu, Tsungfang 52 Wei, Juncheng 49 Ambrosetti, Antonio 49 Peng, Shuangjie 48 Ambrosio, Vincenzo 47 Tang, Chun-Lei 42 Ding, Yanheng 38 Yang, Minbo 36 Do Ó, João M. 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