Dr Carlo Mercuri
Lecturer in Chemical Engineering - CWATER
Mathematics
Telephone: (01792) 602762

Areas of Expertise

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

Publications

  1. & Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency. Calculus of Variations and Partial Differential Equations 55(6)
  2. & A Regularity Result for the p-Laplacian Near Uniform Ellipticity. SIAM Journal on Mathematical Analysis 48(3), 2059-2075.
  3. & On Coron's problem for the p-Laplacian. Journal of Mathematical Analysis and Applications 421(1), 362-369.
  4. & On the pure critical exponent problem for the $$p$$ -Laplacian. Calculus of Variations and Partial Differential Equations n/a(n/a), n/a
  5. & Global compactness for a class of quasi-linear elliptic problems. Manuscripta Mathematica 140(1-2), 119-144.

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Teaching

  • MA-121 Methods of Algebra and Calculus

    A course to consolidate and reinforce fundamental methods in algebra and calculus.

Supervision

  • Some Nonlinear Problems with lack of compactness (current)

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

    Student name:
    PhD
    Other supervisor: Dr Vitaly Moroz
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Elaine Crooks