Publications and preprints

They are arranged in chronological order (oldest at the bottom), and the titles and journals are clickable.

• On the regularity of area minimizing currents at boundaries with arbitrary multiplicity.
  I. Fleschler and R. Resende.
  Submitted. (2024)
• Interior regularity of area minimizing currents within a $C^{2,\alpha}$-submanifold.
  S. Nardulli and R. Resende.
  Submitted. (2024)
• Lipschitz approximation for general almost area minimizing currents.
  R. Resende.
  Submitted. (2023)
• Boundary regularity for anisotropic minimal Lipschitz graphs.
  A. De Rosa and R. Resende.
  Communications in PDEs (CPDE). (2023)
• Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds.
  J. H. Andrade, J. Conrado, S. Nardulli, P. Piccione, R. Resende. (2022)
  Journal of Functional Analysis (JFA).
• Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity.
  S. Nardulli and R. Resende. (2022)
  Advances in Mathematics (AiM).
• On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry.
  R. Resende. (2020)
  Journal of Dynamical and Control Systems (JDCS).