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Mathematics

D-Index
49
Citations
17339
World Ranking
1115
National Ranking
28

Overview

Antonio Ambrosetti was affiliated with the International School for Advanced Studies in Italy. Their research contributions spanned several areas within mathematics and physics, particularly focusing on advanced differential equations and dynamical systems as well as topics related to advanced mathematical physics problems and theoretical physics including black holes.

The scientist's work was published in a range of academic venues, including:

  • Differential Equations
  • Differential and Integral Equations
  • Nonlinear Analysis
  • Advanced Nonlinear Studies

Ambrosetti's publications include the following papers:

  • "On the relativistic pendulum-type equation" (2020), Differential and Integral Equations
  • "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), Nonlinear Analysis
  • "Frontmatter" (2021), Advanced Nonlinear Studies
  • "Index" (2023), Differential Equations
  • "Contents" (2023), Differential Equations

Research topics associated with their work included:

  • Advanced Differential Equations and Dynamical Systems
  • Black Holes and Theoretical Physics
  • Advanced Mathematical Physics Problems

The scientist's fields of study also encompassed certain specialized subfields, such as:

  • Geometry and Topology
  • Nuclear and High Energy Physics
  • Mathematical Physics

Antonio Ambrosetti collaborated frequently with coauthors including Shair Ahmad, with whom they had coauthored multiple papers, as well as David Arcoya, Guozhen Lu, and Paul H. Rabinowitz.

Best Publications

  • Dual variational methods in critical point theory and applications

    Antonio Ambrosetti;Paul H Rabinowitz;Paul H Rabinowitz

  • Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

    Antonio Ambrosetti;Haim Brezis;Giovanna Cerami

  • Semiclassical States of Nonlinear Schrödinger Equations

    A. Ambrosetti;M. Badiale;S. Cingolani

  • Multiple bound states for the Schroedinger-Poisson problem

    Unknown

  • On the inversion of some differentiable mappings with singularities between Banach spaces

    Unknown

  • Perturbation Methods and Semilinear Elliptic Problems on R^n

    Antonio Ambrosetti;Andrea Malchiodi

  • Multiplicity results for some nonlinear Schrodinger equations with potentials

    Antonio Ambrosetti;Andrea Malchiodi;Simone Secchi

  • Multiplicity Results for Some Nonlinear Elliptic Equations

    Antonio Ambrosetti;Jesus Garcia Azorero;Ireneo Peral

  • On Schrödinger-Poisson Systems

    Antonio Ambrosetti

  • Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, Part I

    Antonio Ambrosetti;Andrea Malchiodi;Wei-Ming Ni

  • Homoclinics: Poincaré-Melnikov type results via a variational approach

    Antonio Ambrosetti;Marino Badiale

  • Perturbation of Δu+u(N+2)/(N−2)=0, the Scalar Curvature Problem in RN, and Related Topics

    A Ambrosetti;J Garcia Azorero;I Peral

  • Positive solutions of asymptotically linear elliptic eigenvalue problems

    Unknown

  • Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn

    Unknown

  • Existence of steady vortex rings in an ideal fluid

    A. Ambrosetti;M. Struwe

  • The Dual Variational Principle and elliptic problems with discontinuous nonlinearities

    A Ambrosetti;M Badiale

  • Multiple homoclinic orbits for a class of conservative systems

    Antonio Ambrosetti;Vittorio Coti Zelati

  • Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part II

    Antonio Ambrosetti;Andrea Malchiodi;Wei Ming Ni

  • Nonlinear Schrödinger equations with vanishing and decaying potentials

    Unknown

  • Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

    A. Ambrosetti;A. Malchiodi;D. Ruiz

  • Solutions of minimal period for a class of convex Hamiltonian systems

    Antonio Ambrosetti;Giovanni Mancini

  • Symmetry breaking in Hamiltonian systems

    A. Ambrosetti;V. Coti Zelati;Ivar Ekeland

  • A note on the problem −Δu=λu+u|u|2*−2

    A. Ambrosetti;M. Struwe

  • A MULTIPLICITY RESULT FOR THE YAMABE PROBLEM ON SN

    Antonio Ambrosetti;Andrea Malchiodi

  • Critical points with lack of compactness and singular dynamical systems

    Antonio Ambrosetti;Vittorio Coti Zelati

Frequent Co-Authors

Andrea Malchiodi
Andrea Malchiodi Scuola Normale Superiore di Pisa
Ireneo Peral
Ireneo Peral Autonomous University of Madrid
Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Wei Ming Ni
Wei Ming Ni Chinese University of Hong Kong, Shenzhen
Ivar Ekeland
Ivar Ekeland University of British Columbia
Paul Yang
Paul Yang Princeton University
Sun-Yung Alice Chang
Sun-Yung Alice Chang Princeton University
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Xu-Jia Wang
Xu-Jia Wang Westlake University
Michael Struwe
Michael Struwe ETH Zurich

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