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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
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 149 Publications since 1968, including 17 Books
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

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 6,939 times in 4,897 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
532
1994
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
266
1997
On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0288.35020
Ambrosetti, A.; Prodi, G.
217
1972
Multiple bound states for the Schrödinger-Poisson problem. Zbl 1188.35171
Ambrosetti, Antonio; Ruiz, David
206
2008
Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014
Ambrosetti, Antonio; Colorado, Eduardo
190
2007
A primer of nonlinear analysis. Zbl 0781.47046
Ambrosetti, A.; Prodi, G.
162
1992
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175
Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea
141
2005
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
141
2001
Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004
Ambrosetti, Antonio; Malchiodi, Andrea
140
2006
Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052
Ambrosetti, Antonio; Malchiodi, Andrea
135
2007
Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045
Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo
131
1996
On Schrödinger-Poisson systems. Zbl 1181.35257
Ambrosetti, Antonio
123
2008
Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112
Ambrosetti, Antonio; Colorado, Eduardo
118
2006
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
105
2003
Periodic solutions of singular Lagrangian systems. Zbl 0785.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
90
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.
83
1999
A primer of nonlinear analysis. Zbl 0818.47059
Ambrosetti, A.; Prodi, G.
82
1995
Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080
Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David
67
2008
Positive solutions of asymptotically linear elliptic eigenvalue problems. Zbl 0433.35026
Ambrosetti, A.; Hess, P.
66
1980
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043
Ambrosetti, Antonio; Badiale, Marino
65
1998
Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018
Ambrosetti, Antonio; Coti Zelati, Vittorio
63
1993
Critical points and nonlinear variational problems. Zbl 0766.49006
Ambrosetti, Antonio
62
1992
Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087
Ambrosetti, A.; Wang, Z.-Q.
62
2005
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
60
2007
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
60
2004
Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082
Ambrosetti, A.; Malchiodi, A.; Ruiz, D.
58
2006
The dual variational principle and elliptic problems with discontinuous nonlinearities. Zbl 0687.35033
Ambrosetti, A.; Badiale, M.
56
1989
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities. Zbl 0368.35032
Amann, Herbert; Ambrosetti, Antonio; Mancini, Giovanni
55
1978
Analisi non lineare. I quaderno. Zbl 0352.47001
Prodi, G.; Ambrosetti, A.
53
1973
Sharp nonuniqueness results for some nonlinear problems. Zbl 0433.35025
Ambrosetti, Antonio; Mancini, Giovanni
52
1979
Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030
Ambrosetti, A.; Arcoya, D.; Buffoni, B.
45
1994
Critical points with lack of compactness and singular dynamical systems. Zbl 0642.58017
Ambrosetti, Antonio; Coti Zelati, Vittorio
45
1987
Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Zbl 0174.46001
Ambrosetti, A.
45
1968
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
44
1978
Solutions of minimal period for a class of convex Hamiltonian systems. Zbl 0466.70022
Ambrosetti, Antonio; Mancini, Giovanni
44
1981
Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012
Ambrosetti, A.; Struwe, M.
44
1989
A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\). Zbl 0596.35043
Ambrosetti, A.; Struwe, M.
43
1986
Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029
Ambrosetti, Antonio; Badiale, Marino
42
1998
Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033
Ambrosetti, Antonio; Wang, Zhi-Qiang
40
2003
Symmetry breaking in Hamiltonian systems. Zbl 0606.58043
Ambrosetti, A.; Coti Zelati, V.; Ekeland, I.
39
1987
Some discontinuous variational problems. Zbl 0728.35037
Ambrosetti, A.; Turner, R. E. L.
38
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
32
1978
Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106
Ambrosetti, Antonio; Malchiodi, Andrea
28
2007
Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
28
1989
Global branching for discontinuous problems. Zbl 0732.35101
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
28
1990
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
27
2002
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
24
2011
On a class of nonlinear Dirichlet problems with multiple solutions. Zbl 0554.35046
Ambrosetti, Antonio; Lupo, Daniela
24
1984
Homoclinics for second order conservative systems. Zbl 0804.34046
Ambrosetti, A.; Bertotti, M. L.
22
1992
Elliptic variational problems in \(\mathbb{R}^N\) with critical growth. Zbl 0979.35050
Ambrosetti, A.; Garcia Azorero, J.; Peral, I.
22
2000
On the existence of multiple solutions for a class of nonlinear boundary value problems. Zbl 0273.35037
Ambrosetti, Antonio
21
1973
Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021
Ambrosetti, Antonio
21
2008
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
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
Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013
Ambrosetti, Antonio; Coti Zelati, Vittorio
18
1987
Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049
Ambrosetti, A.; Garcia-Azorero, J.; Peral, I.
17
2000
\(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004
Ambrosetti, Antonio; Sbordone, Carlo
15
1976
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
15
1993
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
15
2017
Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039
Ambrosetti, A.; Gámez, J. L.
14
1997
On the inversion of some differentiable mappings with singularities between Banach spaces. Zbl 0299.35043
Ambrosetti, Antonio; Prodi, Giovanni
14
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
On the symmetric scalar curvature problem on \(S^n\). Zbl 1006.35044
Ambrosetti, Antonio; Malchiodi, Andrea
13
2001
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
Non-collision orbits for a class of Keplerian-like potentials. Zbl 0667.58055
Ambrosetti, Antonio; Coti Zelati, Vittorio
11
1988
Quasilinear equations with a multiple bifurcation. Zbl 0879.35021
Ambrosetti, A.; Azorero, J. G.; Peral, I.
10
1997
Non-collision periodic solutions for a class of symmetric 3-body type problems. Zbl 0829.70006
Ambrosetti, Antonio; Coti Zelati, Vittorio
10
1994
On a quasilinear problem at strong resonance. Zbl 0859.35030
Ambrosetti, Antonio; Arcoya, David
9
1995
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
Asymmetric bound states of differential equations in nonlinear optics. Zbl 0922.34020
Ambrosetti, A.; Arcoya, D.; Gámez, J. L.
9
1998
On some free boundary problems. Zbl 0477.35084
Ambrosetti, Antonio; Mancini, Giovanni
8
1981
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042
Ambrosetti, Antonio; Badiale, Marino
8
1996
Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042
Ambrosetti, Antonio; Arcoya, David
7
2016
Asymptotic behaviour in planar vortex theory. Zbl 0709.76027
Ambrosetti, Antonio; Yang, Jianfu
7
1990
Multiple closed orbits for perturbed Keplerian problems. Zbl 0759.34033
Ambrosetti, A.; Bessi, U.
6
1992
Periodic motions of conservative systems with singular potentials. Zbl 0821.34036
Ambrosetti, Antonio; Struwe, Michael
6
1994
A free boundary problem and a related semilinear equation. Zbl 0458.35097
Ambrosetti, Antonio; Mancini, Giovanni
6
1980
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
Addendum to: Closed orbits of fixed energy for a class of N-body problems. Zbl 0771.70010
Ambrosetti, A.; Coti Zelati, V.
4
1992
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
Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
4
2002
Differential equations with multiple solutions and nonlinear functional analysis. Zbl 0526.34010
Ambrosetti, Antonio
4
1983
Remarks on the Grad-Shafranov equation. Zbl 0772.35085
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
3
1990
Semiclassical states of nonlinear Schrödinger equations with bounded potentials. Zbl 0872.35098
Ambrosetti, Antonio; Badiale, Marino; Cingolani, Silvia
3
1996
Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037
Ambrosetti, Antonio; Berti, Massimiliano
3
1998
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
On the exact number of positive solutions of convex nonlinear problems. Zbl 0391.35031
Ambrosetti, Antonio
3
1978
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
Perturbation results for a class of singular Hamiltonian systems. Zbl 0742.58047
Ambrosetti, Antonio; Ekeland, Ivar
2
1989
Positive solutions of elliptic Kirchhoff equations. Zbl 1378.35094
Ambrosetti, Antonio; Arcoya, David
15
2017
Remarks on non homogeneous elliptic Kirchhoff equations. Zbl 1388.35042
Ambrosetti, Antonio; Arcoya, David
7
2016
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
24
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
206
2008
On Schrödinger-Poisson systems. Zbl 1181.35257
Ambrosetti, Antonio
123
2008
Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\). Zbl 1148.35080
Ambrosetti, Antonio; Cerami, Giovanna; Ruiz, David
67
2008
Remarks on some systems of nonlinear Schrödinger equations. Zbl 1159.35021
Ambrosetti, Antonio
21
2008
Standing waves of some coupled nonlinear Schrödinger equations. Zbl 1130.34014
Ambrosetti, Antonio; Colorado, Eduardo
190
2007
Nonlinear analysis and semilinear elliptic problems. Zbl 1125.47052
Ambrosetti, Antonio; Malchiodi, Andrea
135
2007
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
60
2007
Concentration phenomena for nonlinear Schrödinger equations: recent results and new perspectives. Zbl 1200.35106
Ambrosetti, Antonio; Malchiodi, Andrea
28
2007
Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\). Zbl 1115.35004
Ambrosetti, Antonio; Malchiodi, Andrea
140
2006
Bound and ground states of coupled nonlinear Schrödinger equations. Zbl 1094.35112
Ambrosetti, Antonio; Colorado, Eduardo
118
2006
Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1142.35082
Ambrosetti, A.; Malchiodi, A.; Ruiz, D.
58
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
2
2006
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1064.35175
Ambrosetti, Antonio; Felli, Veronica; Malchiodi, Andrea
141
2005
Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087
Ambrosetti, A.; Wang, Z.-Q.
62
2005
Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008
Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming
60
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
105
2003
Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\). Zbl 1023.35033
Ambrosetti, Antonio; Wang, Zhi-Qiang
40
2003
On the Yamabe problem and the scalar curvature problems under boundary conditions. Zbl 1005.53034
Ambrosetti, Antonio; Li, YanYan; Malchiodi, Andrea
27
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.
141
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.
22
2000
Existence and multiplicity results for some nonlinear elliptic equations: A survey. Zbl 1011.35049
Ambrosetti, A.; Garcia-Azorero, J.; Peral, I.
17
2000
Scalar curvature under boundary conditions. Zbl 0969.58005
Ambrosetti, Antonio; Li, Yan Yan; Malchiodi, Andrea
4
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
Applications of critical point theory to variational problems on \(\mathbb{R}^n\). Zbl 0965.35053
Ambrosetti, Antonio
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.
83
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
65
1998
Variational perturbative methods and bifurcation of bound states from essential spectrum. Zbl 0928.34029
Ambrosetti, Antonio; Badiale, Marino
42
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.
266
1997
Branches of positive solutions for some semilinear Schrödinger equations. Zbl 0956.35039
Ambrosetti, A.; Gámez, J. L.
14
1997
Quasilinear equations with a multiple bifurcation. Zbl 0879.35021
Ambrosetti, A.; Azorero, J. G.; Peral, I.
10
1997
Multiplicity results for some nonlinear elliptic equations. Zbl 0852.35045
Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo
131
1996
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 0887.34042
Ambrosetti, Antonio; Badiale, Marino
8
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.
82
1995
On a quasilinear problem at strong resonance. Zbl 0859.35030
Ambrosetti, Antonio; Arcoya, David
9
1995
Variational methods and nonlinear problems: Classical results and recent advances. Zbl 0824.58018
Ambrosetti, 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
Ambrosetti, A.; Dell’Antonio, G. F.
1
1995
Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028
Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna
532
1994
Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030
Ambrosetti, A.; Arcoya, D.; Buffoni, B.
45
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
90
1993
Multiple homoclinic orbits for a class of conservative systems. Zbl 0806.58018
Ambrosetti, Antonio; Coti Zelati, Vittorio
63
1993
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
15
1993
A primer of nonlinear analysis. Zbl 0781.47046
Ambrosetti, A.; Prodi, G.
162
1992
Critical points and nonlinear variational problems. Zbl 0766.49006
Ambrosetti, Antonio
62
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
Ambrosetti, A.; Marino, A.
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.
28
1990
Asymptotic behaviour in planar vortex theory. Zbl 0709.76027
Ambrosetti, Antonio; Yang, Jianfu
7
1990
Remarks on the Grad-Shafranov equation. Zbl 0772.35085
Ambrosetti, A.; Calahorrano, M.; Dobarro, F.
3
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.
56
1989
Existence of steady vortex rings in an ideal fluid. Zbl 0694.76012
Ambrosetti, A.; Struwe, M.
44
1989
Perturbation of Hamiltonian systems with Keplerian potentials. Zbl 0653.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
28
1989
Perturbation results for a class of singular Hamiltonian systems. Zbl 0742.58047
Ambrosetti, Antonio; Ekeland, Ivar
2
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.
38
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
Ambrosetti, Antonio; Gori, Franco; Lucchetti, Roberto
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.
39
1987
Solutions with minimal period for Hamiltonian systems in a potential well. Zbl 0623.58013
Ambrosetti, Antonio; Coti Zelati, Vittorio
18
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
Rabinowitz, P. H.; Ambrosetti, A.; Ekeland, I.; Zehnder, E. J.
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.
43
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
On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories. Zbl 0492.70018
Ambrosetti, Antonio; Mancini, Giovanni
13
1982
...and 23 more Documents
all top 5

Cited by 2,988 Authors

119 Papageorgiou, Nikolaos S.
78 Rădulescu, Vicenţiu D.
69 Alves, Claudianor Oliveira
62 Tang, Xianhua
60 Miyagaki, Olimpio Hiroshi
50 Wang, Zhi-Qiang
50 Wu, Tsungfang
49 Ambrosetti, Antonio
49 Zou, Wenming
47 Figueiredo, Giovany Malcher
47 Wei, Juncheng
43 Peng, Shuangjie
40 Ambrosio, Vincenzo
40 Ding, Yanheng
35 Yang, Minbo
34 Do Ó, João M. Bezerra
32 Cao, Daomin
32 Malchiodi, Andrea
31 Afrouzi, Ghasem Alizadeh
31 Yan, Shusen
29 Ma, Ruyun
28 Chen, Haibo
26 Peral Alonso, Ireneo
25 Furtado, Marcelo Fernandes
25 Gasiński, Leszek
25 Hsu, TsingSan
25 Repovš, Dušan D.
25 Servadei, Raffaella
25 Squassina, Marco
25 Terracini, Susanna
24 Arcoya, David
24 Byeon, Jaeyoung
24 Guo, Yuxia
24 Li, Gongbao
24 Liu, Jiaquan
24 Zhang, Jihui
24 Zhang, Zhitao
24 Zhang, Ziheng
23 Deng, Yinbin
23 Pucci, Patrizia
23 Schechter, Martin
23 Tanaka, Kazunaga
23 Tang, Zhongwei
22 Da Silva, Edcarlos Domingos
22 Sreenadh, Konijeti
22 Zhang, Binlin
21 Benci, Vieri
21 Kajikiya, Ryuji
21 Kang, Dongsheng
21 Liu, Zhaoli
20 Chen, Sitong
20 Colorado, Eduardo
20 Yang, Jianfu
20 Zhang, Shiqing
19 Coti Zelati, Vittorio
19 He, Xiaoming
19 Motreanu, Dumitru
19 Ruf, Bernhard
19 Shi, Junping
19 Ubilla, Pedro
19 Zanolin, Fabio
18 Bartsch, Thomas J.
18 Bonheure, Denis
18 Carrião, Paulo Cesar
18 Cingolani, Silvia
18 Jeanjean, Louis
18 McKenna, Patrick Joseph
18 Molica Bisci, Giovanni
18 Secchi, Simone
18 Shivaji, Ratnasingham
18 Sun, Juntao
18 Yuan, Rong
18 Zhou, Huan-Song
17 Chen, Jianqing
17 Guedes de Figueiredo, Djairo
17 Li, Shujie
17 Mawhin, Jean L.
17 Nguyen Thanh Chung
17 Salvatore, Addolorata
17 Van Schaftingen, Jean
17 Wang, Jun
17 Xiang, Mingqi
17 Zhang, Fubao
16 Costa, David Goldstein
16 Abreu Goncalves, Jose Valdo
16 Lin, Hueili
16 Liu, Chungen
16 Omari, Pierpaolo
16 Pomponio, Alessio
16 Su, Jiabao
15 Chtioui, Hichem
15 Liao, Jiafeng
15 Liu, Xiangqing
15 Mugnai, Dimitri
15 Passaseo, Donato
15 Rabinowitz, Paul Henry
15 Suárez, Antonio
15 Weth, Tobias
15 Zhao, Fukun
14 Badiale, Marino
...and 2,888 more Authors
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Cited in 330 Serials

454 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
435 Journal of Mathematical Analysis and Applications
364 Journal of Differential Equations
190 Calculus of Variations and Partial Differential Equations
178 Nonlinear Analysis. Theory, Methods & Applications
99 Boundary Value Problems
92 Advanced Nonlinear Studies
90 Annali di Matematica Pura ed Applicata. Serie Quarta
90 Communications in Contemporary Mathematics
85 Journal of Mathematical Physics
84 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
83 Journal of Functional Analysis
82 Communications on Pure and Applied Analysis
81 Discrete and Continuous Dynamical Systems
78 Applied Mathematics Letters
74 ZAMP. Zeitschrift für angewandte Mathematik und Physik
69 Complex Variables and Elliptic Equations
65 NoDEA. Nonlinear Differential Equations and Applications
57 Abstract and Applied Analysis
56 Communications in Partial Differential Equations
55 Applicable Analysis
53 Archive for Rational Mechanics and Analysis
52 Applied Mathematics and Computation
51 Transactions of the American Mathematical Society
50 Proceedings of the American Mathematical Society
49 Nonlinear Analysis. Real World Applications
48 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
43 Mathematical Methods in the Applied Sciences
42 Computers & Mathematics with Applications
41 Mediterranean Journal of Mathematics
40 Advances in Nonlinear Analysis
36 Journal of Fixed Point Theory and Applications
29 Rendiconti del Seminario Matematico della Università di Padova
28 Topological Methods in Nonlinear Analysis
27 Electronic Journal of Differential Equations (EJDE)
27 Science China. Mathematics
26 Rocky Mountain Journal of Mathematics
26 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
25 Mathematische Nachrichten
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Manuscripta Mathematica
21 Acta Applicandae Mathematicae
20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
20 Acta Mathematica Sinica. English Series
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
18 Communications in Mathematical Physics
18 Journal of Computational and Applied Mathematics
18 Mathematische Zeitschrift
18 Journal of the European Mathematical Society (JEMS)
18 Milan Journal of Mathematics
18 Advances in Difference Equations
17 Advances in Mathematics
17 Proceedings of the Edinburgh Mathematical Society. Series II
16 Nonlinearity
16 Acta Mathematicae Applicatae Sinica. English Series
15 Bulletin of the Australian Mathematical Society
15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
14 Journal d’Analyse Mathématique
14 Revista Matemática Iberoamericana
14 Journal of Function Spaces
13 Mathematische Annalen
13 Results in Mathematics
13 Zeitschrift für Analysis und ihre Anwendungen
13 Journal of Dynamics and Differential Equations
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Discrete and Continuous Dynamical Systems. Series S
12 Monatshefte für Mathematik
12 Journal of Elliptic and Parabolic Equations
11 Rendiconti del Circolo Matemàtico di Palermo. Serie II
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 The Journal of Geometric Analysis
10 Journal of Difference Equations and Applications
10 Discrete Dynamics in Nature and Society
10 Differential Equations
10 Arabian Journal of Mathematics
9 Czechoslovak Mathematical Journal
9 Duke Mathematical Journal
9 Acta Mathematica Sinica. New Series
9 Bulletin des Sciences Mathématiques
9 Positivity
9 Journal of Applied Mathematics and Computing
8 Israel Journal of Mathematics
8 Mathematical Notes
8 Archiv der Mathematik
8 Journal of Optimization Theory and Applications
8 Mathematica Slovaca
8 Ricerche di Matematica
8 Chinese Annals of Mathematics. Series B
8 Mathematical and Computer Modelling
8 Taiwanese Journal of Mathematics
8 Journal of Inequalities and Applications
8 Discrete and Continuous Dynamical Systems. Series B
8 Analysis and Applications (Singapore)
8 Boletim da Sociedade Paranaense de Matemática. Terceira Série
8 Frontiers of Mathematics in China
8 Advances in Mathematical Physics
8 Journal of Applied Analysis and Computation
7 Communications on Pure and Applied Mathematics
7 Inventiones Mathematicae
7 Numerical Functional Analysis and Optimization
...and 230 more Serials
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Cited in 54 Fields

3,853 Partial differential equations (35-XX)
758 Global analysis, analysis on manifolds (58-XX)
651 Ordinary differential equations (34-XX)
526 Operator theory (47-XX)
357 Dynamical systems and ergodic theory (37-XX)
304 Calculus of variations and optimal control; optimization (49-XX)
172 Mechanics of particles and systems (70-XX)
140 Differential geometry (53-XX)
137 Functional analysis (46-XX)
125 Quantum theory (81-XX)
103 Numerical analysis (65-XX)
96 Fluid mechanics (76-XX)
64 Integral equations (45-XX)
56 Optics, electromagnetic theory (78-XX)
52 Difference and functional equations (39-XX)
50 Mechanics of deformable solids (74-XX)
45 Statistical mechanics, structure of matter (82-XX)
42 Biology and other natural sciences (92-XX)
36 Real functions (26-XX)
29 Algebraic topology (55-XX)
27 Potential theory (31-XX)
22 Operations research, mathematical programming (90-XX)
20 Probability theory and stochastic processes (60-XX)
17 Systems theory; control (93-XX)
11 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)
8 Classical thermodynamics, heat transfer (80-XX)
7 Approximations and expansions (41-XX)
6 Measure and integration (28-XX)
6 Convex and discrete geometry (52-XX)
5 Functions of a complex variable (30-XX)
5 Astronomy and astrophysics (85-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Statistics (62-XX)
4 Geophysics (86-XX)
3 Combinatorics (05-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 Geometry (51-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 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

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