Vortex sheets for 2D incompressible ideal fluids in domains with boundary

When the Garding inequality is ineffective: examples and remedies

Regularity theory for area-minimizing currents

Spectral methods in the study of semi-linear equations in Hilbert spaces.

Regularity issues for local minimizers of the Mumford-Shah functional in dimension two

Non-stadard solutions of the compressible Euler system

Spectral stability estimates for the Laplace operator with either Dirichlet or Neumann boundary conditions

Antisymmetry and regularity

The vanishing viscosity problem for the Navier-Stokes equations in bounded domains

The Moser-Trudinger equation on a disk: blow-up behavior and non-existence