Personal profile
Research interests
I work in the area of Nonlinear Analysis and Partial Differential Equations (PDEs). Some of the topics I am interested in are
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Singularity formation in elliptic and parabolic equations
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Concentration phenomena in critical problems
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Fractional Yamabe problem.
More information is available in my webpage.
I am willing to supervise PhDs.
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Collaborations and top research areas from the last five years
Projects
- 5 Finished
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Qualitative properties for solutions to Euler's equations.
Musso, M. (PI)
31/03/24 → 30/03/26
Project: Research council
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Concentration phenomena in nonlinear analysis
Musso, M. (PI)
Engineering and Physical Sciences Research Council
27/04/20 → 31/07/24
Project: Research council
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Visit by Professor Pistoia to Bath, Swansea, Imperial College and Nottingham
Musso, M. (PI)
5/01/20 → 4/02/20
Project: UK charity
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Visit by Professor Caldiroli to Bath, Warwick and Swansea
Musso, M. (PI)
1/06/19 → 15/06/19
Project: UK charity
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Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
Buseghin, F., Dávila, J., del Pino, M. & Musso, M., 15 Jun 2026, In: Journal of Functional Analysis. 290, 12, 111443.Research output: Contribution to journal › Article › peer-review
Open Access -
Helical vortex filaments with compactly supported cross-sectional vorticity for the incompressible Euler equations in R3
Averkiou, A. & Musso, M., 25 May 2026, In: Journal of Differential Equations. 464, 114244.Research output: Contribution to journal › Article › peer-review
Open Access -
Nearly parallel helical vortex filaments in the three-dimensional Euler equations
Guerra, I. & Musso, M., 11 Feb 2026, (E-pub ahead of print) In: Mathematische Annalen. 394, 25.Research output: Contribution to journal › Article › peer-review
Open Access -
Overhanging solitary water waves
Davila Bonczos, J., Del Pino, M., Musso, M. & Wheeler, M., 20 Jan 2026, (E-pub ahead of print) In: Inventiones Mathematicae.Research output: Contribution to journal › Article › peer-review
Open Access -
Cluster of vortex helices in the incompressible three-dimensional Euler equations
Guerra, I. & Musso, M., 30 Apr 2025, In: Annales De L Institut Henri Poincare: Analyse Non Linéaire. 42, 3, p. 547-592 46 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Link opens in a new tab Citations (SciVal)
Activities
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Conference "Modern methods in nonlinear elliptic and parabolic PDE"
Musso, M. (Speaker)
27 May 2024 → 31 May 2024Activity: Academic conferences and events (excluding conference publications) › Keynote presentation or prestigious invited talk
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Recent advances in singularity analysis in nonlinear elliptic and parabolic equations, 4th AIMS Conference, Abu Dhabi, 16-20 December, 2024
Musso, M. (Speaker)
16 Dec 2024 → 20 Dec 2024Activity: Academic conferences and events (excluding conference publications) › Keynote presentation or prestigious invited talk
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Regularity theory and free boundary problems: from PDE to interfaces, European Congress of Mathematicians ECM2024, Coimbra
Musso, M. (Speaker)
22 Jul 2024 → 26 Jul 2024Activity: Academic conferences and events (excluding conference publications) › Keynote presentation or prestigious invited talk
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London Paris Analysis Seminar, Queen Mary, London
Musso, M. (Speaker)
18 Oct 2024Activity: Academic conferences and events (excluding conference publications) › Keynote presentation or prestigious invited talk
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PDE Seminar in Cambridge
Musso, M. (Speaker)
21 Oct 2024Activity: Academic conferences and events (excluding conference publications) › Keynote presentation or prestigious invited talk