Peer-reviewed journal papers

  1. Fractional diffusion with free boundaries (with R. Teymurazyan), submitted.
  2. An obstacle problem arising from American options pricing: regularity of solutions (with H. Borrin), Calculus of Variations and Partial Differential Equations, v. 63 (2), 2024.
  3. On the Lagrangian structure of transport equations: relativistic Vlasov systems (with H. Borrin), Mathematical Methods in the Applied Sciences, v. 46, p. 4834-4860, 2023.
  4. Homogenization of obstacle problems in Orlicz-Sobolev spaces (with R. Teymurazyan and J.F. Rodrigues), Portugaliae Mathematica, v. 75, p. 267-283, 2018.
  5. On the blow-up criterion of magnetohydrodynamics equations in homogeneous Sobolev spaces (with L. Schutz and J. Ziebell), Applicable Analysis, v. 97, p. 1677-1687, 2018.
  6. Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations (with A. Figalli, and D. Gomes), Calculus of Variations and Partial Differential Equations, 55 (2016), no. 4, 55-79.
  7. The calculus of thermodynamical formalism (with P. Giulietti, B. Kloeckner, and A. Lopes), Journal of the European Mathematical Society, v. 55, p. 79, 2016.
  8. A quantitative log-Sobolev inequality for a two parameter family of functions (with E. Indrei), International Mathematics Research Notices. IMRN 2014, no. 20, 5563-5580.

Conference paper

  1. The current method for stationary mean-field games on networks (with D. Gomes and F. Saleh) 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 2019, pp. 305-310.

Book

  1. Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs (Editor with E. Indrei and L. Nurbekyan) Contemporary Mathematics v. 781, 2023, ix+135pp.

Preprint

  1. Topological properties of discrete non autonomous dynamical systems (with F. Rodrigues).
  2. A free boundary problem with fractional diffusion (with R. Teymurazyan), submitted.

PhD thesis

Weak KAM and Aubry-Mather theories in an optimal switching setting,
Instituto Superior Técnico, Universidade de Lisboa, 2013.