Dr Carlo Mercuri
Senior Lecturer
Telephone: (01792) 602762
Room: Office - 204
Second Floor
Talbot Building
Singleton Campus

Areas of Expertise

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


  1. & Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Transactions of the American Mathematical Society, 1
  2. & Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency. Calculus of Variations and Partial Differential Equations 55(6)
  3. & A Regularity Result for the p-Laplacian Near Uniform Ellipticity. SIAM Journal on Mathematical Analysis 48(3), 2059-2075.
  4. & On Coron's problem for the p-Laplacian. Journal of Mathematical Analysis and Applications 421(1), 362-369.
  5. & On the pure critical exponent problem for the $$p$$ -Laplacian. Calculus of Variations and Partial Differential Equations n/a(n/a), n/a

See more...


  • MA-121 Methods of Algebra and Calculus

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


  • Existence and Qualitative Properties of Solutions to Non Linear Schodinger-Poisson Systems (current)

    Student name:
    Other supervisor: Dr Elaine Crooks
  • Some Nonlinear Problems With Lack Of Compactness (current)

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

    Student name:
    Other supervisor: Dr Vitaly Moroz