Marco Picerni

Publications & Preprints

Submitted

1. A Homogenized Maz'ya--Shaposhnikova formula (with A. Braides and A.J.A. Schiavoni Piazza)
   Arxiv preprint
2. Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters (with E. Davoli and A. Fanizza)
   Arxiv preprint
3. Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime (with N. Gigli, A. Ohanyan, Z. Xu and M. Zanardini)
   Arxiv preprint

Publications

1. Existence and regularity of solutions to parabolic-elliptic nonlinear systems
   Journal of Evolution Equations (2026). ArXiv preprint available
2. Existence, uniqueness, regularity and stability of solutions to linear X-elliptic equations with measurable coefficients
   Nonlinear Analysis (2026). ArXiv preprint available.
3. Progress in Clinical Magnetocardiography: The Contactless Breakthrough for Non-Invasive Clinical Detection of Cardiac Ischemia Now Needs Worldwide Standardization (with R. Fenici, P. Fenici and D. Brisinda)
   Sensors, 2026
4. Existence and summability of solutions to nonlinear X-elliptic equations with measurable coefficients
   Annali di Matematica Pura e Applicata (2026). ArXiv preprint available.
5. Mosco-Convergence of convex sets and unilateral problems for differential operators with lower order terms having natural growth (with L. Boccardo and M.A. Palladino)
   Journal of convex Analysis (in press). ArXiv preprint available.
6. Non-invasive mapping of ventricular action potential reconstructed from contactless magnetocardiographic recordings in intact and conscious Guinea Pigs (with D. Brisinda, P. Fenici and R. Fenici)
   Journal of Cardiovascular Development and Disease, 2025
7. Non-invasive mapping of ventricular action potential waveforms reconstructed from clinical unshielded magnetocardiography. Potential diagnostic application and current limitations (with D. Brisinda, P. Fenici and R. Fenici)
   American Heart Journal Plus: Cardiology Research and Practice, 2025
8. Analysis for non-local phase transitions close to the critical exponent s=1/2
   Ricerche di Matematica (2025). ArXiv preprint available.
9. An advanced vision of magnetocardiography as an unrivalled method for a more comprehensive non-invasive clinical electrophysiological assessment (with D. Brisinda, P. Fenici and R. Fenici)
   American Heart Journal Plus: Cardiology Research and Practice, 2025
10. Stability results for variational inequalities in Sobolev spaces under Mosco Convergence of convex sets (with L. Boccardo)
    Rendiconti di Matematica e delle sue Applicazioni, 2026 (in press)
11. Automatic calculation of the parasympathetic, sympathetic and Baevsky stress indexes provides a more comprehensive assessment of cardiac autonomic modulation (with D. Brisinda, P. Fenici and R. Fenici)
    European Heart Journal, 2024
12. Synthetic assessment of cardiac autonomic modulation and Baevsky stress index in patients with synucleinopathies (with D. Brisinda, P. Fenici and R. Fenici)
    European Heart Journal, 2024
13. Rapid assessment of cardiac autonomic modulation and adaptive stress responses: Automatic calculation of time-varying parasympathetic, sympathetic, and Baevsky stress indexes (with D. Brisinda, P. Fenici and R. Fenici)
    Brain & Heart, 2024
14. Quantitative assessment of autonomic nervous system responses induced by graded training workloads in healthy elderly, through indices obtained from heart rate variability analysis (with D. Brisinda and R. Fenici)
    European Heart Journal, 2021