Dr Carlo Mercuri
Senior Lecturer
Mathematics
Telephone: (01792) 602762
Room: Office - 341
Third Floor
Computational Foundry
Bay Campus

Areas of Expertise

  • Nonlinear Analysis
  • Partial Differential Equations
  • Critical Point Theory
  • Variational Methods

Publications

  1. & Quantitative symmetry breaking of groundstates for a class of weighted Emden-Fowler equations. Nonlinearity
  2. & Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in R^N. Annali di Matematica Pura ed Applicata (1923 -)
  3. & A Liouville theorem for the p-Laplacian and related questions. Calculus of Variations and Partial Differential Equations
  4. & On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density. Revista Matemática Iberoamericana
  5. & Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Transactions of the American Mathematical Society, 1

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Teaching

  • MA-241 Introduction to Ordinary Differential Equations

    This module is an elementary course on the theory and methods for ordinary differential equations (ODEs). It combines a rigorous approach to the existence and uniqueness of solutions with methods for finding explicit solutions to ODEs. Applications are discussed to concrete problems in Physics and Biology.

  • MA-314 Differential Equations

    This module is an advanced course on the theory and methods for ordinary differential equations. It combines questions about the existence, uniqueness and properties of solutions to ODEs with methods of finding the explicit solutions to linear ODEs. Applications of ODEs methods to some classes of initial boundary value problems for partial differential equations are also discussed.

  • MA-M14 Differential Equations

    This module is an advanced course on the theory and methods for ordinary differential equations. It combines questions about the existence, uniqueness and properties of solutions to ODEs with methods of finding the explicit solutions to linear ODEs. Applications of ODEs methods to some classes of initial boundary value problems for partial differential equations are also discussed.

Supervision

  • Asymptotic behavior of reaction-diffusion systems with strong interaction (current)

    Student name:
    PhD
    Other supervisor: Prof Elaine Crooks
  • Existence and Qualitative Properties of Solutions to Non Linear Schodinger-Poisson Systems (current)

    Student name:
    PhD
    Other supervisor: Prof Elaine Crooks
  • Some Nonlinear Problems With Lack Of Compactness (awarded 2019)

    Student name:
    MSc
    Other supervisor: Dr Andrew Neate
  • '''Asymptotic behaviour of the ground state of quasilinear elliptic equation with a vanishing parameter''' (awarded 2017)

    Student name:
    PhD
    Other supervisor: Prof Vitaly Moroz