Dual variational methods and nonvanishing for the nonlinear Helmholtz equation

Sharpness of Picard's theorem in space

A minimization approach to hyperbolic Cauchy problems

Rigidity of equality cases in symmetrization inequalities

Rough solutions to parabolic equations

New explicit examples of conformally constrained Willmore surfaces

KAM for quasi-linear KdV

Mean field and Gross-Pitaevskii limits of quantum dynamics

Topology preserving diffusions: the example of divergence-free vector fields

Ricci curvature lower bounds and branching geodesics in metric spaces