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Ambrosetti, Antonio

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Published as: Ambrosetti, Antonio; Ambrosetti, A.
Homepage: http://www.math.sissa.it/users/antonio-ambrosetti
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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

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 7,590 times in 5,388 Documents Cited by Year
Dual variational methods in critical point theory and applications. Zbl 0273.49063
Ambrosetti, Antonio; Rabinowitz, Paul H.
1973
Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028
Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna
599
1994
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
283
1997
Multiple bound states for the Schrödinger-Poisson problem. Zbl 1188.35171
Ambrosetti, Antonio; Ruiz, David
233
2008
On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0288.35020
Ambrosetti, A.; Prodi, G.
227
1972
Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014
Ambrosetti, Antonio; Colorado, Eduardo
212
2007
A primer of nonlinear analysis. Zbl 0781.47046
Ambrosetti, A.; Prodi, G.
177
1992
Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004
Ambrosetti, Antonio; Malchiodi, Andrea
164
2006
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175
Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea
156
2005
Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052
Ambrosetti, Antonio; Malchiodi, Andrea
151
2007
On Schrödinger-Poisson systems. Zbl 1181.35257
Ambrosetti, Antonio
147
2008
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
145
2001
Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045
Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo
136
1996
Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112
Ambrosetti, Antonio; Colorado, Eduardo
127
2006
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
114
2003
Periodic solutions of singular Lagrangian systems. Zbl 0785.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
93
1993
Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics. Zbl 0938.35056
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
93
1999
A primer of nonlinear analysis. Zbl 0818.47059
Ambrosetti, A.; Prodi, G.
91
1995
Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080
Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David
78
2008
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
75
2007
Positive solutions of asymptotically linear elliptic eigenvalue problems. Zbl 0433.35026
Ambrosetti, A.; Hess, P.
70
1980
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043
Ambrosetti, Antonio; Badiale, Marino
68
1998
Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018
Ambrosetti, Antonio; Coti Zelati, Vittorio
67
1993
Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087
Ambrosetti, A.; Wang, Z.-Q.
67
2005
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
64
2004
Critical points and nonlinear variational problems. Zbl 0766.49006
Ambrosetti, Antonio
64
1992
Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082
Ambrosetti, A.; Malchiodi, A.; Ruiz, D.
59
2006
The dual variational principle and elliptic problems with discontinuous nonlinearities. Zbl 0687.35033
Ambrosetti, A.; Badiale, M.
59
1989
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
58
1978
Sharp nonuniqueness results for some nonlinear problems. Zbl 0433.35025
Ambrosetti, Antonio; Mancini, Giovanni
53
1979
Analisi non lineare. I quaderno. Zbl 0352.47001
Prodi, G.; Ambrosetti, A.
53
1973
Solutions of minimal period for a class of convex Hamiltonian systems. Zbl 0466.70022
Ambrosetti, Antonio; Mancini, Giovanni
52
1981
Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030
Ambrosetti, A.; Arcoya, D.; Buffoni, B.
51
1994
Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012
Ambrosetti, A.; Struwe, M.
50
1989
Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Zbl 0174.46001
Ambrosetti, A.
49
1968
A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\). Zbl 0596.35043
Ambrosetti, A.; Struwe, M.
47
1986
Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue. Zbl 0393.35032
Ambrosetti, Antonio; Mancini, Giovanni
45
1978
Critical points with lack of compactness and singular dynamical systems. Zbl 0642.58017
Ambrosetti, Antonio; Coti Zelati, Vittorio
45
1987
Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029
Ambrosetti, Antonio; Badiale, Marino
45
1998
Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033
Ambrosetti, Antonio; Wang, Zhi-Qiang
44
2003
Symmetry breaking in Hamiltonian systems. Zbl 0606.58043
Ambrosetti, A.; Coti Zelati, V.; Ekeland, I.
41
1987
Some discontinuous variational problems. Zbl 0728.35037
Ambrosetti, A.; Turner, R. E. L.
41
1988
Closed orbits of fixed energy for singular Hamiltonian systems. Zbl 0737.70008
Ambrosetti, Antonio; Coti Zelati, Vittorio
36
1990
Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part. Zbl 0375.35024
Ambrosetti, Antonio; Mancini, Giovanni
33
1978
Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
30
1989
Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106
Ambrosetti, Antonio; Malchiodi, Andrea
30
2007
Global branching for discontinuous problems. Zbl 0732.35101
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
30
1990
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
29
2002
Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
26
2000
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
26
2011
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
25
2017
On a class of nonlinear Dirichlet problems with multiple solutions. Zbl 0554.35046
Ambrosetti, Antonio; Lupo, Daniela
24
1984
Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021
Ambrosetti, Antonio
23
2008
Homoclinics for second order conservative systems. Zbl 0804.34046
Ambrosetti, A.; Bertotti, M. L.
22
1992
On the existence of multiple solutions for a class of nonlinear boundary value problems. Zbl 0273.35037
Ambrosetti, Antonio
22
1973
Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013
Ambrosetti, Antonio; Coti Zelati, Vittorio
22
1987
A multiplicity result for the Yamabe problem on \(S^n\). Zbl 0949.53028
Ambrosetti, Antonio; Malchiodi, Andrea
20
1999
Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials. Zbl 1126.35059
Ambrosetti, A.; Ruiz, D.
20
2006
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
19
1993
Closed orbits of fixed energy for a class of \(N\)-body problems. Zbl 0757.70007
Ambrosetti, A.; Coti-Zelati, V.
19
1992
Branching points for a class of variational operators. Zbl 0931.47051
Ambrosetti, Antonio
19
1998
Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049
Ambrosetti, A.; Garcia-Azorero, J.; Peral, I.
18
2000
Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039
Ambrosetti, A.; Gámez, J. L.
15
1997
\(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004
Ambrosetti, Antonio; Sbordone, Carlo
15
1976
On the symmetric scalar curvature problem on \(S^n\). Zbl 1006.35044
Ambrosetti, Antonio; Malchiodi, Andrea
13
2001
On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0299.35043
Ambrosetti, Antonio; Prodi, Giovanni
13
1973
Elliptic equations with jumping nonlinearities. Zbl 0589.35043
Ambrosetti, Antonio
13
1984
On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories. Zbl 0492.70018
Ambrosetti, Antonio; Mancini, Giovanni
13
1982
Multiplicité des orbites homoclines pour des systèmes conservatifs. (Multiple homoclinic orbits for a class of conservative systems). Zbl 0780.49008
Ambrosetti, Antonio; Coti Zelati, Vittorio
12
1992
Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042
Ambrosetti, Antonio; Arcoya, David
12
2016
Quasilinear equations with a multiple bifurcation. Zbl 0879.35021
Ambrosetti, A.; Azorero, J. G.; Peral, I.
11
1997
Non-collision orbits for a class of Keplerian-like potentials. Zbl 0667.58055
Ambrosetti, Antonio; Coti Zelati, Vittorio
11
1988
Non-collision periodic solutions for a class of symmetric 3-body type problems. Zbl 0829.70006
Ambrosetti, Antonio; Coti Zelati, Vittorio
10
1994
Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
9
2001
On a quasilinear problem at strong resonance. Zbl 0859.35030
Ambrosetti, Antonio; Arcoya, David
9
1995
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042
Ambrosetti, Antonio; Badiale, Marino
9
1996
Asymmetric bound states of differential equations in nonlinear optics. Zbl 0922.34020
Ambrosetti, A.; Arcoya, D.; Gámez, J. L.
9
1998
A free boundary problem and a related semilinear equation. Zbl 0458.35097
Ambrosetti, Antonio; Mancini, Giovanni
9
1980
On some free boundary problems. Zbl 0477.35084
Ambrosetti, Antonio; Mancini, Giovanni
9
1981
Asymptotic behaviour in planar vortex theory. Zbl 0709.76027
Ambrosetti, Antonio; Yang, Jianfu
8
1990
Periodic motions of conservative systems with singular potentials. Zbl 0821.34036
Ambrosetti, Antonio; Struwe, Michael
6
1994
Multiple closed orbits for perturbed Keplerian problems. Zbl 0759.34033
Ambrosetti, A.; Bessi, U.
6
1992
Esistenza di infinite soluzioni per problemi non lineari in assenza di parametro. Zbl 0249.35030
Ambrosetti, Antonio
5
1972
Some remarks on the buckling problem for a thin clamped shell. Zbl 0303.35036
Ambrosetti, Antonio
5
1974
Scalar curvature under boundary conditions. Zbl 0969.58005
Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea
4
2000
Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006
Ambrosetti, 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 0639.34038
Ambrosetti, Antonio; Coti Zelati, Vittorio
4
1987
Remarks on the Grad-Shafranov equation. Zbl 0772.35085
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
4
1990
Addendum to: Closed orbits of fixed energy for a class of N-body problems. Zbl 0771.70010
Ambrosetti, A.; Coti Zelati, V.
4
1992
Differential equations with multiple solutions and nonlinear functional analysis. Zbl 0526.34010
Ambrosetti, Antonio
4
1983
Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
4
2002
Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037
Ambrosetti, Antonio; Berti, Massimiliano
3
1998
On the exact number of positive solutions of convex nonlinear problems. Zbl 0391.35031
Ambrosetti, Antonio
3
1978
Semiclassical states of nonlinear Schrödinger equations with bounded potentials. Zbl 0872.35098
Ambrosetti, Antonio; Badiale, Marino; Cingolani, Silvia
3
1996
Multiplicity results for the Yamabe problem on \(S^n\). Zbl 1063.53041
Ambrosetti, Antonio
3
2002
Superlinear elliptic problems and the dual principle in critical point theory. Zbl 0581.35020
Ambrosetti, A.; Srikanth, P. N.
3
1984
Observations on global inversion theorems. (Osservazioni sui teoremi di inversione globale.) Zbl 1217.47106
Ambrosetti, Antonio
3
2011
Systems of nonlinear Schrödinger equations. A survey. Zbl 1167.35362
Ambrosetti, Antonio
3
2009
Multiple periodic trajectories in a relativistic gravitational field. Zbl 0725.34038
Ambrosetti, A.; Bessi, U.
3
1990
A note on nonlinear Schrödinger systems: existence of \(a\)-symmetric solutions. Zbl 1113.34023
Ambrosetti, Antonio
3
2006
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
25
2017
Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042
Ambrosetti, Antonio; Arcoya, David
12
2016
A textbook on ordinary differential equations. 2nd edition. Zbl 1337.34001
Ahmad, Shair; Ambrosetti, Antonio
1
2015
A textbook on ordinary differential equations. Zbl 1288.34001
Ahmad, Shair; Ambrosetti, Antonio
1
2014
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
26
2011
Observations on global inversion theorems. (Osservazioni sui teoremi di inversione globale.) Zbl 1217.47106
Ambrosetti, Antonio
3
2011
Systems of nonlinear Schrödinger equations. A survey. Zbl 1167.35362
Ambrosetti, Antonio
3
2009
Multiple bound states for the Schrödinger-Poisson problem. Zbl 1188.35171
Ambrosetti, Antonio; Ruiz, David
233
2008
On Schrödinger-Poisson systems. Zbl 1181.35257
Ambrosetti, Antonio
147
2008
Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080
Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David
78
2008
Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021
Ambrosetti, Antonio
23
2008
Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014
Ambrosetti, Antonio; Colorado, Eduardo
212
2007
Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052
Ambrosetti, Antonio; Malchiodi, Andrea
151
2007
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
75
2007
Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106
Ambrosetti, Antonio; Malchiodi, Andrea
30
2007
Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004
Ambrosetti, Antonio; Malchiodi, Andrea
164
2006
Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112
Ambrosetti, Antonio; Colorado, Eduardo
127
2006
Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082
Ambrosetti, A.; Malchiodi, A.; Ruiz, D.
59
2006
Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials. Zbl 1126.35059
Ambrosetti, A.; Ruiz, D.
20
2006
A note on nonlinear Schrödinger systems: existence of \(a\)-symmetric solutions. Zbl 1113.34023
Ambrosetti, Antonio
3
2006
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175
Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea
156
2005
Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087
Ambrosetti, A.; Wang, Z.-Q.
67
2005
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
64
2004
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1225.35213
Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea
2
2004
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
114
2003
Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033
Ambrosetti, Antonio; Wang, Zhi-Qiang
44
2003
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
29
2002
Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
4
2002
Multiplicity results for the Yamabe problem on \(S^n\). Zbl 1063.53041
Ambrosetti, Antonio
3
2002
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
145
2001
On the symmetric scalar curvature problem on \(S^n\). Zbl 1006.35044
Ambrosetti, Antonio; Malchiodi, Andrea
13
2001
Remarks on a class of semilinear elliptic equations on \(\mathbb{R}^n\), via perturbation methods. Zbl 1001.35038
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
9
2001
Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
26
2000
Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049
Ambrosetti, A.; Garcia-Azorero, J.; Peral, I.
18
2000
Scalar curvature under boundary conditions. Zbl 0969.58005
Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea
4
2000
Applications of critical point theory to variational problems on \(\mathbb{R}^n\). Zbl 0965.35053
Ambrosetti, Antonio
1
2000
A note on the scalar curvature problem in the presence of symmetries. Zbl 1008.53038
Ambrosetti, 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 0938.35056
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
93
1999
A multiplicity result for the Yamabe problem on \(S^n\). Zbl 0949.53028
Ambrosetti, Antonio; Malchiodi, Andrea
20
1999
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043
Ambrosetti, Antonio; Badiale, Marino
68
1998
Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029
Ambrosetti, Antonio; Badiale, Marino
45
1998
Branching points for a class of variational operators. Zbl 0931.47051
Ambrosetti, Antonio
19
1998
Asymmetric bound states of differential equations in nonlinear optics. Zbl 0922.34020
Ambrosetti, A.; Arcoya, D.; Gámez, J. L.
9
1998
Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037
Ambrosetti, Antonio; Berti, Massimiliano
3
1998
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
283
1997
Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039
Ambrosetti, A.; Gámez, J. L.
15
1997
Quasilinear equations with a multiple bifurcation. Zbl 0879.35021
Ambrosetti, A.; Azorero, J. G.; Peral, I.
11
1997
Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045
Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo
136
1996
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042
Ambrosetti, Antonio; Badiale, Marino
9
1996
Semiclassical states of nonlinear Schrödinger equations with bounded potentials. Zbl 0872.35098
Ambrosetti, Antonio; Badiale, Marino; Cingolani, Silvia
3
1996
A primer of nonlinear analysis. Zbl 0818.47059
Ambrosetti, A.; Prodi, G.
91
1995
On a quasilinear problem at strong resonance. Zbl 0859.35030
Ambrosetti, Antonio; Arcoya, David
9
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
Variational methods and nonlinear problems: Classical results and recent advances. Zbl 0824.58018
Ambrosetti, Antonio
1
1995
Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028
Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna
599
1994
Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030
Ambrosetti, A.; Arcoya, D.; Buffoni, B.
51
1994
Non-collision periodic solutions for a class of symmetric 3-body type problems. Zbl 0829.70006
Ambrosetti, Antonio; Coti Zelati, Vittorio
10
1994
Periodic motions of conservative systems with singular potentials. Zbl 0821.34036
Ambrosetti, Antonio; Struwe, Michael
6
1994
Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006
Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo
4
1994
Periodic solutions of singular Lagrangian systems. Zbl 0785.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
93
1993
Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018
Ambrosetti, Antonio; Coti Zelati, Vittorio
67
1993
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
19
1993
A primer of nonlinear analysis. Zbl 0781.47046
Ambrosetti, A.; Prodi, G.
177
1992
Critical points and nonlinear variational problems. Zbl 0766.49006
Ambrosetti, Antonio
64
1992
Homoclinics for second order conservative systems. Zbl 0804.34046
Ambrosetti, A.; Bertotti, M. L.
22
1992
Closed orbits of fixed energy for a class of \(N\)-body problems. Zbl 0757.70007
Ambrosetti, A.; Coti-Zelati, V.
19
1992
Multiplicité des orbites homoclines pour des systèmes conservatifs. (Multiple homoclinic orbits for a class of conservative systems). Zbl 0780.49008
Ambrosetti, Antonio; Coti Zelati, Vittorio
12
1992
Multiple closed orbits for perturbed Keplerian problems. Zbl 0759.34033
Ambrosetti, A.; Bessi, U.
6
1992
Addendum to: Closed orbits of fixed energy for a class of N-body problems. Zbl 0771.70010
Ambrosetti, 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 0726.70003
Ambrosetti, Antonio; Bessi, Ugo
1
1991
Closed orbits of fixed energy for singular Hamiltonian systems. Zbl 0737.70008
Ambrosetti, Antonio; Coti Zelati, Vittorio
36
1990
Global branching for discontinuous problems. Zbl 0732.35101
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
30
1990
Asymptotic behaviour in planar vortex theory. Zbl 0709.76027
Ambrosetti, Antonio; Yang, Jianfu
8
1990
Remarks on the Grad-Shafranov equation. Zbl 0772.35085
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
4
1990
Multiple periodic trajectories in a relativistic gravitational field. Zbl 0725.34038
Ambrosetti, A.; Bessi, U.
3
1990
Periodic solutions of a class of Hamiltonian systems with singularities. Zbl 0708.34031
Ambrosetti, Antonio; Ekeland, Ivar
1
1990
The dual variational principle and elliptic problems with discontinuous nonlinearities. Zbl 0687.35033
Ambrosetti, A.; Badiale, M.
59
1989
Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012
Ambrosetti, A.; Struwe, M.
50
1989
Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
30
1989
Perturbation results for a class of singular Hamiltonian systems. Zbl 0742.58047
Ambrosetti, Antonio; Ekeland, Ivar
1
1989
Existence of steady vortex rings in an ideal fluid. Zbl 0709.35081
Ambrosetti, Antonio; Struwe, Michael
1
1989
Some discontinuous variational problems. Zbl 0728.35037
Ambrosetti, A.; Turner, R. E. L.
41
1988
Non-collision orbits for a class of Keplerian-like potentials. Zbl 0667.58055
Ambrosetti, 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 0653.70013
Ambrosetti, 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 0642.58017
Ambrosetti, Antonio; Coti Zelati, Vittorio
45
1987
Symmetry breaking in Hamiltonian systems. Zbl 0606.58043
Ambrosetti, A.; Coti Zelati, V.; Ekeland, I.
41
1987
Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013
Ambrosetti, 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 0639.34038
Ambrosetti, 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 0632.34042
Ambrosetti, Antonio; Coti Zelati, Vittorio
1
1987
A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\). Zbl 0596.35043
Ambrosetti, A.; Struwe, M.
47
1986
Nonlinear oscillations with minimal period. Zbl 0666.58020
Ambrosetti, Antonio
1
1986
On a class of nonlinear Dirichlet problems with multiple solutions. Zbl 0554.35046
Ambrosetti, Antonio; Lupo, Daniela
24
1984
Elliptic equations with jumping nonlinearities. Zbl 0589.35043
Ambrosetti, Antonio
13
1984
Superlinear elliptic problems and the dual principle in critical point theory. Zbl 0581.35020
Ambrosetti, A.; Srikanth, P. N.
3
1984
Existence and multiplicity results for some classes of nonlinear problems. Zbl 0568.35008
Ambrosetti, Antonio
1
1984
Differential equations with multiple solutions and nonlinear functional analysis. Zbl 0526.34010
Ambrosetti, Antonio
4
1983
Recent advances in the study of the existence of periodic orbits of Hamiltonian systems. Zbl 0565.70013
Ambrosetti, Antonio
1
1983
...and 24 more Documents
all top 5

Cited by 3,286 Authors

132 Papageorgiou, Nikolaos S.
89 Rădulescu, Vicenţiu D.
76 Alves, Claudianor Oliveira
71 Tang, Xianhua
62 Miyagaki, Olimpio Hiroshi
54 Figueiredo, Giovany Malcher
54 Wang, Zhi-Qiang
54 Zou, Wenming
53 Wu, Tsungfang
51 Wei, Juncheng
49 Ambrosetti, Antonio
48 Peng, Shuangjie
47 Ambrosio, Vincenzo
42 Ding, Yanheng
38 Yang, Minbo
36 Do Ó, João M. Bezerra
34 Malchiodi, Andrea
33 Cao, Daomin
33 Yan, Shusen
32 Afrouzi, Ghasem Alizadeh
31 Chen, Haibo
30 Furtado, Marcelo Fernandes
30 Ma, Ruyun
28 Gasiński, Leszek
28 Repovš, Dušan D.
27 Li, Gongbao
26 Guo, Yuxia
26 Peral Alonso, Ireneo
26 Pucci, Patrizia
26 Terracini, Susanna
26 Zhang, Binlin
26 Zhang, Jihui
26 Zhang, Ziheng
25 Arcoya, David
25 Da Silva, Edcarlos Domingos
25 Hsu, TsingSan
25 Liu, Jiaquan
25 Servadei, Raffaella
25 Squassina, Marco
25 Tanaka, Kazunaga
25 Zhang, Zhitao
24 Byeon, Jaeyoung
24 Su, Jiabao
24 Tang, Zhongwei
23 Deng, Yinbin
23 Kajikiya, Ryuji
23 Schechter, Martin
22 Cingolani, Silvia
22 Kang, Dongsheng
22 Nguyen Thanh Chung
22 Sreenadh, Konijeti
22 Ubilla, Pedro
21 Benci, Vieri
21 Chen, Sitong
21 Colorado, Eduardo
21 Liu, Zhaoli
20 He, Xiaoming
20 Ruf, Bernhard
20 Salvatore, Addolorata
20 Secchi, Simone
20 Wang, Jun
20 Yang, Jianfu
20 Zhang, Shiqing
19 Bonheure, Denis
19 Chen, Jianqing
19 Coti Zelati, Vittorio
19 Liu, Chungen
19 Motreanu, Dumitru
19 Shi, Junping
19 Zanolin, Fabio
19 Zhou, Huan-Song
18 Bartsch, Thomas J.
18 Carrião, Paulo Cesar
18 Jeanjean, Louis
18 Lei, Chunyu
18 Liao, Jiafeng
18 McKenna, Patrick Joseph
18 Molica Bisci, Giovanni
18 Severo, Uberlandio Batista
18 Shivaji, Ratnasingham
18 Sun, Juntao
18 Yuan, Rong
18 Zhang, Fubao
17 Guedes de Figueiredo, Djairo
17 Li, Shujie
17 Liang, Sihua
17 Liu, Xiangqing
17 Maia, Liliane A.
17 Mawhin, Jean L.
17 Suárez, Antonio
17 Van Schaftingen, Jean
17 Xiang, Mingqi
16 Chu, Changmu
16 Costa, David Goldstein
16 Abreu Goncalves, Jose Valdo
16 Kim, Yunho
16 Lin, Hueili
16 da Silva Montenegro, Marcelo
16 Omari, Pierpaolo
16 Passaseo, Donato
...and 3,186 more Authors
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Cited in 355 Serials

465 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
448 Journal of Mathematical Analysis and Applications
383 Journal of Differential Equations
201 Calculus of Variations and Partial Differential Equations
178 Nonlinear Analysis. Theory, Methods & Applications
129 Boundary Value Problems
103 Advanced Nonlinear Studies
94 Communications in Contemporary Mathematics
92 Annali di Matematica Pura ed Applicata. Serie Quarta
92 Communications on Pure and Applied Analysis
89 Discrete and Continuous Dynamical Systems
88 Journal of Mathematical Physics
88 Journal of Functional Analysis
88 Applied Mathematics Letters
86 Complex Variables and Elliptic Equations
85 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
83 ZAMP. Zeitschrift für angewandte Mathematik und Physik
73 NoDEA. Nonlinear Differential Equations and Applications
69 Applicable Analysis
58 Abstract and Applied Analysis
57 Archive for Rational Mechanics and Analysis
56 Communications in Partial Differential Equations
55 Nonlinear Analysis. Real World Applications
52 Applied Mathematics and Computation
52 Proceedings of the American Mathematical Society
51 Transactions of the American Mathematical Society
50 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
50 Advances in Nonlinear Analysis
49 Mediterranean Journal of Mathematics
43 Mathematical Methods in the Applied Sciences
42 Computers & Mathematics with Applications
42 Topological Methods in Nonlinear Analysis
41 Journal of Fixed Point Theory and Applications
35 Electronic Journal of Differential Equations (EJDE)
29 Rendiconti del Seminario Matematico della Università di Padova
29 Science China. Mathematics
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
26 Rocky Mountain Journal of Mathematics
25 Manuscripta Mathematica
25 Mathematische Nachrichten
24 Discrete and Continuous Dynamical Systems. Series S
22 Acta Applicandae Mathematicae
22 Acta Mathematica Scientia. Series B. (English Edition)
20 Communications in Mathematical Physics
20 Nonlinearity
20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
20 Mathematische Zeitschrift
20 Proceedings of the Edinburgh Mathematical Society. Series II
20 Acta Mathematica Sinica. English Series
20 Advances in Difference Equations
19 Journal of Computational and Applied Mathematics
19 The Journal of Geometric Analysis
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Milan Journal of Mathematics
18 Acta Mathematicae Applicatae Sinica. English Series
18 Journal of the European Mathematical Society (JEMS)
18 Journal of Elliptic and Parabolic Equations
17 Advances in Mathematics
17 Journal of Function Spaces
16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Bulletin of the Australian Mathematical Society
15 Journal d’Analyse Mathématique
15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
14 Results in Mathematics
14 Revista Matemática Iberoamericana
14 Journal of Dynamics and Differential Equations
13 Mathematische Annalen
13 Rendiconti del Circolo Matemàtico di Palermo. Serie II
13 Zeitschrift für Analysis und ihre Anwendungen
13 Positivity
13 Journal of Inequalities and Applications
13 AIMS Mathematics
12 Monatshefte für Mathematik
12 Discrete Dynamics in Nature and Society
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Taiwanese Journal of Mathematics
11 Advances in Mathematical Physics
11 Minimax Theory and its Applications
10 Israel Journal of Mathematics
10 Mathematica Slovaca
10 Asymptotic Analysis
10 Journal of Difference Equations and Applications
10 Differential Equations
10 Discrete and Continuous Dynamical Systems. Series B
10 Analysis and Mathematical Physics
10 Arabian Journal of Mathematics
9 Mathematical Notes
9 Czechoslovak Mathematical Journal
9 Duke Mathematical Journal
9 Journal of Optimization Theory and Applications
9 Ricerche di Matematica
9 Acta Mathematica Sinica. New Series
9 Bulletin des Sciences Mathématiques
9 Advances in Differential Equations
9 Annales Henri Poincaré
9 Journal of Applied Mathematics and Computing
9 Analysis and Applications (Singapore)
9 SN Partial Differential Equations and Applications
8 Indian Journal of Pure & Applied Mathematics
...and 255 more Serials
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Cited in 55 Fields

4,270 Partial differential equations (35-XX)
803 Global analysis, analysis on manifolds (58-XX)
683 Ordinary differential equations (34-XX)
564 Operator theory (47-XX)
384 Dynamical systems and ergodic theory (37-XX)
317 Calculus of variations and optimal control; optimization (49-XX)
180 Mechanics of particles and systems (70-XX)
151 Differential geometry (53-XX)
146 Functional analysis (46-XX)
131 Quantum theory (81-XX)
115 Numerical analysis (65-XX)
112 Fluid mechanics (76-XX)
66 Integral equations (45-XX)
63 Optics, electromagnetic theory (78-XX)
55 Difference and functional equations (39-XX)
51 Mechanics of deformable solids (74-XX)
51 Statistical mechanics, structure of matter (82-XX)
44 Real functions (26-XX)
44 Biology and other natural sciences (92-XX)
31 Algebraic topology (55-XX)
28 Potential theory (31-XX)
24 Probability theory and stochastic processes (60-XX)
23 Operations research, mathematical programming (90-XX)
19 Systems theory; control (93-XX)
15 Relativity and gravitational theory (83-XX)
10 Several complex variables and analytic spaces (32-XX)
10 General topology (54-XX)
9 Manifolds and cell complexes (57-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Measure and integration (28-XX)
7 Approximations and expansions (41-XX)
6 Convex and discrete geometry (52-XX)
6 Astronomy and astrophysics (85-XX)
5 Functions of a complex variable (30-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistics (62-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Topological groups, Lie groups (22-XX)
4 Geophysics (86-XX)
3 Category theory; homological algebra (18-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)

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