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 58(4)
  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

See more...

Teaching

  • MA-003 Fundamental Complex Numbers

    This module introduces the concept of complex numbers and illustrates how they find application throughout mathematics.

  • 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.

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