Dr Carlo Mercuri

Research Highlights

1. Mercuri, C. & Perera, K. (2022). New multiplicity results for critical p-Laplacian problems. Journal of Functional Analysis, 283(4), 109536

   https://doi.org/10.1016/j.jfa.2022.109536, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59948
2. Dutko, T., Mercuri, C., & Tyler, M. (2021). Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger–Poisson systems. Calculus of Variations and Partial Differential Equations, 60(5)

   https://doi.org/10.1007/s00526-021-02045-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa57454
3. Bellazzini, J., Ghimenti, M., Mercuri, C., Moroz, V., & Schaftingen, J. (2018). Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces. Transactions of the American Mathematical Society, 370(11), 8285-8310.

   https://doi.org/10.1090/tran/7426, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa35917
4. Mercuri, C. & Santos, E. (2019). Quantitative symmetry breaking of groundstates for a class of weighted Emden–Fowler equations. Nonlinearity, 32(11), 4445-4464.

   https://doi.org/10.1088/1361-6544/ab2d6f, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51042
5. Albalawi, W., Mercuri, C., & Moroz, V. (2020). Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$. Annali di Matematica Pura ed Applicata (1923 -), 199(1), 23-63.

   https://doi.org/10.1007/s10231-019-00865-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50315
6. Farina, A., Mercuri, C., & Willem, M. (2019). A Liouville theorem for the p-Laplacian and related questions. Calculus of Variations and Partial Differential Equations, 58(4)

   https://doi.org/10.1007/s00526-019-1596-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51017
7. Mercuri, C. & Tyler, M. (2020). On a class of nonlinear Schrödinger–Poisson systems involving a nonradial charge density. Revista Matemática Iberoamericana

   https://doi.org/10.4171/rmi/1158, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa44664
8. Mercuri, C., Moroz, V., & Schaftingen, J. (2016). Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency. Calculus of Variations and Partial Differential Equations, 55(6)

   https://doi.org/10.1007/s00526-016-1079-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa30794
9. Mercuri, C., Riey, G., & Sciunzi, B. (2016). A Regularity Result for the p-Laplacian Near Uniform Ellipticity. SIAM Journal on Mathematical Analysis, 48(3), 2059-2075.

   https://doi.org/10.1137/16m1058546, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa28298
10. Mercuri, C., Sciunzi, B., & Squassina, M. (2014). On Coron's problem for the p-Laplacian. Journal of Mathematical Analysis and Applications, 421(1), 362-369.

    https://doi.org/10.1016/j.jmaa.2014.07.018, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22339

    http://www.sciencedirect.com/science/article/pii/S0022247X14006611

All Research

• Optimization of eigenvalues and applications to reaction-diffusion partial differential equations.«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /»«br /» (current)

  PhD

  Other supervisor: Prof Elaine Crooks

• Solutions to a class of nonlinear Schrödinger equations involving a nonlocal term. (current)

  PhD

  Other supervisor: Prof Michael Edwards

• Self-similar fast reaction limit of reaction diffusion systems with nonlinear diffusion (current)

  PhD

  Other supervisor: Prof Elaine Crooks

• Existence and Qualitative Properties of Solutions to Non Linear Schodinger-Poisson Systems (awarded 2020)

  PhD

  Other supervisor: Prof Elaine Crooks

• '''Asymptotic behaviour of the ground state of quasilinear elliptic equation with a vanishing parameter''' (awarded 2017)

  PhD

  Other supervisor: Prof Vitaly Moroz

• Some Nonlinear Problems With Lack Of Compactness (awarded 2019)

  MSc

  Other supervisor: Dr Andrew Neate

• 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.

• MA-300 Project

  This module provides the opportunity to explore a mathematical topic and learn new subjects without instruction, but under the supervision of a member of staff.

• MA-311 Partial Differential Equations

  This course provides an introduction to the theory of partial differential equations form an analytical perspective.

• MA-350 Dissertation in the Mathematics of Finance

  This module provides the opportunity to explore a topic within the mathematics of finance and independently learn new subjects with the guidance of a member of staff.

• MA-M00 Project

  This module provides the opportunity to explore a mathematical topic and learn new subjects without instruction, but under the supervision of a member of staff.

• MA-M11 Partial Differential Equations

  This course provides an introduction to the theory of partial differential equations form an analytical perspective.

• MAW300 Prosiect

  This module provides the opportunity to explore a mathematical topic and learn new subjects without instruction, but under the supervision of a member of staff