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Mathematics

D-Index
39
Citations
6837
World Ranking
2180
National Ranking
63

Overview

Andrea Malchiodi is affiliated with the Scuola Normale Superiore di Pisa in Italy and has made significant contributions to the field of Mathematics, particularly focusing on Applied Mathematics and Geometry. Their work spans several subfields including Geometry and Topology, Computational Theory and Mathematics, Mathematical Physics, and Astronomy and Astrophysics.

The primary research topics covered by Malchiodi's work include:

  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Geometry and Complex Manifolds
  • Advanced Mathematical Modeling in Engineering
  • Analytic and Geometric Function Theory
  • Advanced Differential Geometry Research
  • Numerical Methods in Inverse Problems

Malchiodi has published extensively, with a notable presence in prominent venues such as:

  • arXiv (Cornell University)
  • Revista Matemática Iberoamericana
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Journal of Geometric Analysis
  • Journal of Differential Geometry

Key recent papers authored or coauthored by Malchiodi include:

  • "Prescribing Morse Scalar Curvatures: Pinching and Morse Theory" (2021, Communications on Pure and Applied Mathematics)
  • "Conformal metrics with prescribed gaussian and geodesic curvatures" (2022, Annales Scientifiques de l'École Normale Supérieure)
  • "Conformal metrics with prescribed scalar and mean curvature" (2022, Journal für die reine und angewandte Mathematik (Crelles Journal))
  • "A Note on the Critical Laplace Equation and Ricci Curvature" (2023, Journal of Geometric Analysis)
  • "Critical metrics for log-determinant functionals in conformal geometry" (2024, Journal of Differential Geometry)

Andrea Malchiodi has collaborated frequently with several researchers including Jih-Hsin Cheng, Paul Yang, Luca Martinazzi, Mattia Fogagnolo, and Lorenzo Mazzieri. These coauthors have appeared repeatedly across numerous publications, indicating established research partnerships.

Their scholarly output also includes at least one book published through Zurich Lectures in Advanced Mathematics titled Prescribing Scalar Curvature in Conformal Geometry, released in 2023.

Best Publications

  • Nonlinear Analysis and Semilinear Elliptic Problems

    Antonio Ambrosetti;Andrea Malchiodi

  • 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

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

    Antonio Ambrosetti;Veronica Felli;Andrea Malchiodi

  • Existence of conformal metrics with constant Q-curvature

    Zindine Djadli;Andrea Malchiodi

  • Multiplicity results for some nonlinear Schroedinger equations with potentials

    A. Ambrosetti;A. Malchiodi;S. Secchi

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

    Antonio Ambrosetti;Andrea Malchiodi;Wei-Ming Ni

  • Minimal surfaces in pseudohermitian geometry

    Jih-Hsin Cheng;Jenn Fang Hwang;Andrea Malchiodi;Paul C. Yang

  • Boundary concentration phenomena for a singularly perturbed elliptic problem

    Andrea Malchiodi;Marcelo Montenegro

  • A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$-curvature

    Matthew J. Gursky;Andrea Malchiodi

  • Multidimensional boundary layers for a singularly perturbed Neumann problem

    Andrea Malchiodi;Marcelo Montenegro

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

    Antonio Ambrosetti;Andrea Malchiodi;Wei Ming Ni

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

    A. Ambrosetti;A. Malchiodi;D. Ruiz

  • Supercritical conformal metrics on surfaces with conical singularities

    Daniele Bartolucci;Francesca De Marchis;Andrea Malchiodi

  • Compactness of solutions to some geometric fourth-order equations

    Andrea Malchiodi

  • Morse theory and a scalar field equation on compact surfaces

    Andrea Malchiodi

  • Topological methods for an elliptic equation with exponential nonlinearities

    Andrea Malchiodi

  • Q-curvature flow on S^4

    Andrea Malchiodi;Michael Struwe

  • Some existence results for the Toda system on closed surfaces

    Andrea Malchiodi;Cheikh Birahim Ndiaye

  • Prescribing a fourth oder conformal invariant on the standard sphere - Part I: a perturbation result

    Zindine Djadli;Mohameden Ould Ahmedou;Andrea Malchiodi

  • Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications

    Zindine Djadli;Andrea Malchiodi;Mohameden Ould Ahmedou

Frequent Co-Authors

Antonio Ambrosetti
Antonio Ambrosetti International School for Advanced Studies
Paul Yang
Paul Yang Princeton University
Wei Ming Ni
Wei Ming Ni Chinese University of Hong Kong, Shenzhen
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Xu-Jia Wang
Xu-Jia Wang Westlake University
Sun-Yung Alice Chang
Sun-Yung Alice Chang Princeton University
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Andrea Braides
Andrea Braides University of Rome Tor Vergata
Matteo Novaga
Matteo Novaga University of Pisa
Ireneo Peral
Ireneo Peral Autonomous University of Madrid

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