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Personal webpage of Bruno Premoselli

bruno.premoselli[at]ulb.ac.be

Université Libre de Bruxelles CP 218
Service d'Analyse
Office 7.102, Phone: +32 2 650 58 52
Campus Plaine - NO building, 7th floor
Boulevard du Triomphe B-1050 Bruxelles, Belgique.

Current Situation

Since February 2018 I am a Premier Assistant (tenured position, equivalent to Associate Professor) in the Analysis Group of the Université Libre de Bruxelles (ULB)

From September 2015 to January 2018 I was a post-doc in the Geometry group of the Université Libre de Bruxelles, under the supervision of Joel Fine. 

From September 2011 to August 2015 I prepared my Ph.D at the University of Cergy-Pontoise under the supervision of O. Druet et E. Hebey

Research Interests

Nonlinear Analysis -- Riemannian Einstein metrics -- Constraint equations in General Relativity

Curriculum Vitae

In English, with a list of the talks I have given and a teaching record. Link. 

Publications in peer-reviewed journals

  1. (With J. Vétois) Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part, 36 pages, 2018. Accepted for publication in the Journal of Differential Equations. File.
  2. (With J. Fine) Examples of compact Einstein four-manifolds with negative curvature, 57 Page, 2018. Submitted. arXiv:1802.00608.
  3. (With P.D. Thizy) Bubbling above the threshold of the scalar curvature in dimensions four and five, 41 pages, 2017. Accepted for publication in Calculus of Variations and PDEs. hal-01805092   
  4. A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case, Nonlinear Anal. 172 (2018), pp. 200–215. File
  5. A pointwise finite-dimensional reduction method for a fully coupled system of Einstein-Lichnerowicz type, Communications in Contemporary Mathematics 20 (2018), no. 6, 1750076, 72 pp. arXiv:1605.05468.
  6. (With J. Wei) Non-compactness and infinite number of conformal initial data sets in high dimensions, Journal of Functional Analysis 270 (2016), no.2, 718-747. arXiv:1505.02806
  7. Stability and instability of the n-dimensional Einstein-Lichnerowicz constraints system, International Mathematics Research Notices, Vol. 2016 no.8, 1951-2025. arXiv:1502.04233
  8. (With O. Druet) Stability of the Einstein-Lichnerowicz constraint system, Matematische Annalen 362 (2015), no.3, 839-886. arXiv:1312.6574
  9. Effective multiplicity for the Einstein-calar field Lichnerowicz equation, Calculus of Variations and Partial Differential Equations 53 (2015) no.1, 29-64. arXiv:1307.2416
  10. The Einstein-scalar field constraint system in the positive case, Communications in Mathematical Physics 326 (2014), no. 2, 543-557. arXiv:1301.5792

Conference Proceedings

  1.  A pointwise finite-dimensional reduction method for Einstein-Lichnerowciz type systems. Proceedings of the BruTo PDE's Conference (Torino, 2-5 May 2016). To appear in the Rendiconti del Seminario Matematico - Università e Politecnico di Torino.