A photo of me during my PhD dissertation

Emanuele Cristoforoni

Postdoctoral Researcher in Mathematical Analysis

Università degli studi di Milano La Statale
Dipartimento di Matematica "Federigo Enriques"
emanuele.cristoforoni@unimi.it

About me

My research focuses on the Analysis of PDEs and Spectral Inequalities, with particular attention to the behaviour of solutions to elliptic problems with thin layers, Shape Optimization, and Free discontinuity problems.

I completed my PhD, in Mathematical and physical sciences for advanced materials and technologies, at the Scuola Superiore Meridionale, Napoli (Italy), in January 2026 under the supervision of Prof. Carlo Nitsch, with a thesis titled "The Robin Boundary Conditions in Variational Problems and Thermal Insulation".

Publications

  1. On the classical Reinforcement problem and Optimisation

    _ _, C. Nitsch, C. Trombetti

    arXiv preprint.

  2. Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition

    _ _, F. Villone

    arXiv preprint.

  3. An improved version of a spectral inequality by Payne

    P. Acampora, _ _, C. Nitsch, C. Trombetti

    Journal of Differential Equations 461 (2026).

  4. Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains.

    P. Acampora, V. Amato, _ _

    Communications in Contemporary Mathematics 28, No. 01 (2026)

  5. On the asymptotic behavior of a diffraction problem with a thin layer

    P. Acampora, _ _

    Advances in Calculus of Variations (2025).

  6. A spectral isoperimetric inequality on the n-sphere for the Robin-Laplacian with negative boundary parameter.

    P. Acampora, A. Celentano, _ _, C. Nitsch, C. Trombetti

    Journal of Geometric Analysis 35, 183 (2025).

  7. On the Optimal Shape of a Thin Insulating Layer

    P. Acampora, _ _, C. Nitsch, C. Trombetti

    SIAM Journal on Mathematical Analysis 56, Iss. 3 (2024).

  8. A free boundary problem for the p-Laplacian with nonlinear boundary conditions

    P. Acampora, _ _

    Ann. Mat. Pura Appl. 203, (2024).

  9. An isoperimetric result for an energy related to the p-capacity

    P. Acampora, _ _

    Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 34, No. 4(2023).

  10. A free boundary problem in thermal insulation with a prescribed heat source

    P. Acampora, _ _, C. Nitsch, C. Trombetti

    ESAIM Control Optim. Calc. Var. 29 (2023) 3.

All the preprint versions of the papers can be found on .