Areas of Expertise

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

Publications

  1. Mercuri, C. Quantitative symmetry breaking of groundstates for a class of weighted Emden–Fowler equations Nonlinearity 32 11 4445 4464
  2. Moroz, V., Mercuri, C. Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in R^N Annali di Matematica Pura ed Applicata (1923 -)
  3. Mercuri, C. A Liouville theorem for the p-Laplacian and related questions Calculus of Variations and Partial Differential Equations 58 4
  4. Mercuri, C. On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density Revista Matemática Iberoamericana
  5. Moroz, V., Mercuri, C. Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency Calculus of Variations and Partial Differential Equations 55 6

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Teaching

  • MA-241 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

  • Untitled (current)

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

    Student name:
    PhD
    Other supervisor: Prof Elaine Crooks
  • Asymptotic behavior of reaction-diffusion systems with strong interaction (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