Antonio Ambrosetti | Academic Influence

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Antonio Ambrosetti

Mathematics

#1810

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#2893

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Measure Theory

#940

World Rank

#1225

Historical Rank

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Mathematics

Antonio Ambrosetti's Degrees

PhD Mathematics Consorzio ICoN

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According to Wikipedia, Antonio Ambrosetti was an Italian mathematician who worked in the fields of partial differential equations and calculus of variations. Scientific activity Ambrosetti studied at the University of Padua and was professor of mathematics at the International School for Advanced Studies. He is known for his basic work on topological methods in the calculus of variations. These provide tools aimed at establishing the existence of solutions to variational problems when classical direct methods of the calculus of variations cannot be applied. In particular, the so-called mountain pass theorem he established with Paul Rabinowitz is nowadays a classical tool in the context of nonlinear analysis problems.

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Antonio Ambrosetti's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Dual variational methods in critical point theory and applications (1973) (4214)
Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems (1994) (1087)
A primer of nonlinear analysis (1993) (676)
Semiclassical States of Nonlinear Schrödinger Equations (1997) (546)
On the inversion of some differentiable mappings with singularities between Banach spaces (1972) (396)
Multiple bound states for the Schroedinger-Poisson problem (2008) (384)
Standing waves of some coupled nonlinear Schrödinger equations (2007) (381)
Perturbation Methods and Semilinear Elliptic Problems on R^n (2005) (325)
Nonlinear Analysis and Semilinear Elliptic Problems (2007) (296)
Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity (2005) (267)
Multiplicity Results for some Nonlinear¶Schrödinger Equations with Potentials (2000) (261)
Multiplicity Results for Some Nonlinear Elliptic Equations (1996) (252)
On Schrödinger-Poisson Systems (2008) (238)
Singularly Perturbed Elliptic Equations with Symmetry: Existence of Solutions Concentrating on Spheres, Part I (2003) (221)
Bound and ground states of coupled nonlinear Schrödinger equations (2006) (220)
Periodic solutions of singular Lagrangian systems (1993) (207)
Homoclinics: Poincaré-Melnikov type results via a variational approach (1998) (180)
Perturbation of Δu+u(N+2)/(N−2)=0, the Scalar Curvature Problem in RN, and Related Topics (1999) (167)
Critical points and nonlinear variational problems (1992) (152)
Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part II (2004) (151)
Positive solutions of asymptotically linear elliptic eigenvalue problems (1980) (138)
Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn (2008) (125)
Nonlinear Analysis and Semilinear Elliptic Problems: Contents (2007) (124)
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations (2007) (122)
Nonlinear Schrödinger equations with vanishing and decaying potentials (2005) (119)
Multiple homoclinic orbits for a class of conservative systems (1993) (112)
Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities (1978) (111)
Existence of steady vortex rings in an ideal fluid (1989) (109)
Variational perturbative methods and bifurcation of bound states from the essential spectrum (1998) (107)
Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity (2006) (106)
The Dual Variational Principle and elliptic problems with discontinuous nonlinearities (1989) (103)
Sharp nonuniqueness results for some nonlinear problems (1979) (90)
Positive solutions for some semi-positone problems via bifurcation theory (1994) (84)
Solutions of minimal period for a class of convex Hamiltonian systems (1981) (83)
An Introduction to Nonlinear Functional Analysis and Elliptic Problems (2011) (77)
Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance the case of the simple eigenvalue (1978) (70)
A note on the problem −Δu=λu+u|u|2*−2 (1986) (70)
Symmetry breaking in Hamiltonian systems (1987) (68)
On the Yamabe problem and the scalar curvature problems under boundary conditions (2002) (68)
Critical points with lack of compactness and singular dynamical systems (1987) (65)
Some discontinuous variational problems (1988) (62)
Positive solutions to a class of quasilinear elliptic equations on $\mathbb R$ (2003) (61)
Closed orbits of fixed energy for singular Hamiltonian systems (1990) (59)
Elliptic Variational Problems in RN with Critical Growth (2000) (57)
A MULTIPLICITY RESULT FOR THE YAMABE PROBLEM ON SN (1999) (57)
Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part (1978) (51)
Positive solutions to a class of quasilinear elliptic equations on R (2003) (49)
On a class of nonlinear Dirichlet problems with multiple solutions (1984) (48)
Global branching for discontinuous problems (1990) (47)
Nonlinear Analysis and Semilinear Elliptic Problems: Preface (2007) (45)
Perturbation of hamiltonian systems with Keplerian potentials (1989) (45)
Remarks on some systems of nonlinear Schrödinger equations (2008) (42)
Existence and multiplicity results for some nonlinear elliptic equations: a survey. (2000) (42)
Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials (2006) (39)
Branching points for a class of variational operators (1998) (38)
Positive Solutions of Elliptic Kirchhoff Equations (2016) (38)
On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories (1982) (38)
A note on the existence of multiple brake orbits (1993) (36)
A Perturbation Theorem for Superlinear Boundary Value Problems. (1974) (35)
On the existence of multiple solutions for a class of nonlinear boundary value problems (1973) (33)
Quasilinear equations with a multiple bifurcation (1997) (33)
Solutions with minimal period for hamiltonian systems in a potential well (1987) (33)
Concentration phenomena for nonlinear Schrödinger equations: Recent results and new perspectives (2007) (32)
On the Symmetric Scalar Curvature Problem on Sn (2001) (29)
Nonlinear analysis : a tribute in honour of Giovanni Prodi (1991) (29)
Closed orbits of fixed energy for a class of N-body problems (1992) (27)
Nonlinear functional analysis and applications to differential equations : proceedings of the second School ICTP, Trieste, Italy, 21 April-9 May 1997 (1998) (27)
Asymmetric bound states of differential equations in nonlinear optics (1998) (25)
A Textbook on Ordinary Differential Equations (2014) (24)
Branches of positive solutions for some semilinear Schrödinger equations (1997) (23)
Non-collision periodic solutions for a class of symmetric 3-body type problems (1994) (20)
Semiclassical states of nonlinear Schrödinger equations with bounded potentials (1996) (19)
Solutions, concentrating on spheres, to symmetric singularly perturbed problems (2002) (18)
Remarks on non homogeneous elliptic Kirchhoff equations (2016) (18)
Non-collision orbits for a class of Keplerian-like potentials (1988) (17)
On a quasilinear problem at strong resonance (1995) (17)
Perturbation methods and semilinear elliptic problems on R[superscript n] (2006) (17)
Asymptotic behaviour in planar vortex theory (1990) (16)
Periodic Solutions of Singular Dynamical Systems (1987) (16)
Differential equations with multiple solutions and nonlinear functional analysis (1983) (16)
Remarks on a Class of Semilinear Elliptic Equations on ℝn, via Perturbat ion Met hods (2001) (15)
On the number of positive solutions of some semilinear elliptic problems (2010) (14)
Homoclinics and complex dynamics in slowly oscillating systems (1998) (14)
Periodic motions of conservative systems with singular potentials (1994) (11)
A free boundary problem and a related semilinear equation (1980) (9)
Multiple periodic trajectories in a relativistic gravitational field (1990) (9)
Multiple closed orbits for perturbed Keplerian problems (1992) (8)
Periodic solutions with prescribed energy for some keplerian $N$-body problems (1994) (8)
Scalar curvature under boundary conditions (2000) (8)
Geometric analysis and PDEs (2009) (8)
Variational Methods and Nonlinear Problems: Classical Results and Recent Advances (1995) (7)
Multiplicity results for the Yamabe problem on Sn (2002) (6)
Periodic solutions of a class of Hamiltonian systems with singularities (1990) (6)
Recent advances in the study of the existence of periodic orbits of Hamiltonian systems (1983) (6)
Orbital stability of standing waves of semiclassical nonlinear Schrödinger-Poisson equation (2009) (5)
SUPERLINEAR ELLIPTIC PROBLEMS AND THE DUAL PRINCIPLE IN CRITICAL POINT THEORY (1984) (5)
A Note on Nonlinear Schrödinger Systems: Existence of A-symmetric Solutions (2006) (5)
EXISTENCE OF MULTI-PEAK SOLUTIONS FOR A CLASS OF QUASILINEAR PROBLEMS IN R N (2011) (5)
Remarks on the Grad-Shafranov equation (1990) (5)
A note on the scalar curvature problem in the presence of symmetries (2000) (4)
Variational methods in nonlinear analysis (1995) (4)
Remarks on Bifurcation from the Essential Spectrum (1999) (3)
Addendum to Closed orbits of fixed energy for a class of N-body problems (1992) (3)
Variational and Local Methods in the Study of Hamiltonian Systems: Proceedings of the Workshop (1995) (3)
Differential Equations (2019) (3)
Nonlinear Analysis and Semilinear Elliptic Problems: Saddle points and min-max methods (2007) (2)
Perturbation results for a class of singular Hamiltonian systems (1989) (2)
Systems of nonlinear Schrödinger equations. A survey (2009) (1)
Applications of critical point theory to variational problems on Rn (2000) (1)
Second order equations (2014) (1)
Contribution to the study of the behaviour of the nerve fibres in the congenital ureterectasis. (1967) (1)
On the relativistic pendulum-type equation (2020) (1)
POINCARE-MELNIKOV THEORY OF HOMOCLINICS AND CHAOS : A VARIATIONAL APPROACH(Variational Problems and Related Topics) (1998) (1)
Treatment of vaginismus by hypnotic psychotherapy. Review (2019) (1)
Nonlinear Analysis and Semilinear Elliptic Problems: Morse theory (2007) (1)
Nonlinear equations with expansive nonlinearities (1978) (1)
Elliptic variational problems in $ R\\\\sp N$ with critical growth (2000) (1)
AN APPLICATION OF THE LYAPUNOV-SCHMIDT METHOD TO SEMILINEAR ELLIPTIC PROBLEMS (2005) (1)
Nonlinear Analysis and Semilinear Elliptic Problems: Bifurcation for problems on ℝ n (2007) (1)
First order linear differential equations (2014) (1)
Standing waves for some systems of coupled nonlinear Schrödinger equations (2007) (1)
[MORPHAZINAMIDE IN THE THERAPY OF URINARY TUBERCULOSIS]. (1963) (0)
Remarks on forced second order Hamiltonian systems with asymmetric potentials (1992) (0)
On Keplerian N-Body Type Problems (1998) (0)
[Causes of medialization of renal shadows during pneumoperitoneum; anatomical study with stratigraphy]. (1956) (0)
Orbits with Prescribed Energy (1993) (0)
An intyroduction to nonlinear functional analysis and elliptic problem / Antonio Ambrosetti, David Arcoya (2011) (0)
Applications of critical point theory tohomoclinics and complex dynamics (1998) (0)
[Histopathological changes of renal pelvis in hydronephrosis]. (1957) (0)
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 (1988) (0)
Leray—Schauder Topological Degree (2011) (0)
Orbits with Fixed Period: the Weakly Attractive Case (1993) (0)
Qualitative analysis of 2 x 2 systems and nonlinear second order equations (2014) (0)
[Mechanism of action of estrogens in prostate cancer]. (1956) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Critical points of even functionals on symmetric manifolds (2007) (0)
On the scalar curvature problem under symmetry (1999) (0)
Systems of first order equations (2014) (0)
Elliptic Problems and Functional Analysis (2011) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Further results on elliptic Dirichlet problems (2007) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Preliminaries (2007) (0)
[Experimental investigation of the correlations of the thymus and thyroid gland by study of the glycogenolytic activity induced by the isolated and combined function of the two glands]. (1955) (0)
Problems with A Priori Bounds (2011) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Some problems arising in differential geometry (2007) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Deformations and the Palais–Smale condition (2007) (0)
Existence and uniqueness for systems and higher order equations (2014) (0)
[Bladder neoplasm of allantoic origin]. (1956) (0)
[Arteriography of tuberculous kidneys]. (1955) (0)
XXIX National Congress of the Italian Urological Association (1957) (0)
Geometric Analysis and PDEs: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007 (2009) (0)
[FOREIGN BODIES OF THE KIDNEY. (CONSIDERATIONS ON A CLINICAL CASE OF INTRA- AND EXTRA-RENAL MULTIPLE FOREIGN BODIES)]. (1963) (0)
A survey on systems of nonlinear Schrödinger equations (2008) (0)
Solutions by infinite series and Bessel functions (2014) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Constrained critical points (2007) (0)
[The diagnostic importance of the protein picture of the prostatic fluid]. (1961) (0)
Nonlinear oscillations for conservative systems : proceedings, Venice, 9-12 January, 1985 (1985) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: The concentration compactness principle (2007) (0)
[Morphological changes of nerve tissue in cancerous bladders after telecobaltotherapy]. (1957) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Qualitative results (2007) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Perturbation methods (2007) (0)
[Studies on intravital transformation of intramural ganglion neurons of the seminal vesicles]. (1956) (0)
Critical Point Theory , a short survey ? (2005) (0)
Proceedings on Lectures given at the 2nd 1986 Session of the Centro Internazionale Matematico Estivo on Mathematical economics (1988) (0)
The N -Body Problem (1993) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Topological degree, I (2007) (0)
An Outline of Critical Points (2011) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Topological degree, II: global properties (2007) (0)
Boundary value problems (2014) (0)
Asymptotically Linear Problems (2011) (0)
Massimiliano Berti Heteroclinic solutions for perturbed second order systems (2012) (0)
[Problem of correlation between the thymus and thyroid; experimental contribution]. (1951) (0)
A free boundary problem and a related semilinear equation. 4 (1980), no. 5, 909–915 (1980) (0)
Symposium on Partial Differential Equations to celebrate the Seventy-Fifth Birthday of James Serrin (2002) (0)
Orbits with Fixed Period: the Strongly Attractive Case (1993) (0)
[Morphological behavior of the nerve fiber of the ureter after ureterosigmoidostomy]. (1955) (0)
MULTIPLE SOLUTIONS FOR PERTURBED INDEFINITE (2003) (0)
[Ureteroileostomy with cutaneous ileostomy; clinical contribution]. (1957) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Critical points: extrema (2007) (0)
Local and Global Inversion Theorems (2011) (0)
[Two cases of primary carcinoma of the ureter]. (1953) (0)
Some Fixed Point Theorems (2011) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Lusternik–Schnirelman theory (2007) (0)
[Experimental contribution to the physiopathological study of hypoventilating bronchial stenosis; bronchospirometric findings]. (1955) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: A primer on bifurcation theory (2007) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: References (2007) (0)
Theory of first order differential equations (2014) (0)
First order nonlinear differential equations (2015) (0)
Higher order linear equations (2014) (0)
[Two cases of pyelo-ureteral duplicity diagnoses with pneumo-retroperitoneum and with stratigraphy]. (1954) (0)
Non-homogeneous Dirichlet problems with concave-convex reaction (2022) (0)
Remarks on non homogeneous elliptic Kirchhoff equations (2016) (0)
Nonlinear Analysis and Semilinear Elliptic Problems: Vortex rings in an ideal fluid (2007) (0)
[Hypertensive unilateral nephropathy]. (1957) (0)
Professor Giovanni Prodi (2011) (0)
Stationary States of Evolution Equations (2011) (0)
Preface for the special issue on “Nonlinear Analysis and Partial Differential Equations”: In honor of Professor Shair Ahmad on the occasion of his 85th birthday and retirement (2020) (0)

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