Publications:

1. Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
   Xavier Fernández-Real, Florian Gruen
   submitted | arXiv:2408.10019
2. Non-sufficiency of smoothness in the gradient conjecture
   Florian Gruen
   to appear in Applied Mathematics E-Notes | arXiv:2408.10582

Theses:

1. EPFL Master's thesis: Regularity of the one-phase problem   Slides   Poster
2. Lund Bachelor's thesis: Optimality gaps and regularity for one-dimensional variational problems   Slides

Other projects:

• REU Research Project - Hebrew University of Jerusalem: Energy estimates in elasticity
• Research Experience Undergraduate - Bremen/Hamburg University: Excitation of spikes in the monostable FitzHugh-Nagumo system (Version 2)   Action potentials in action - Pulse waves for partial differential equations (Version 1)   Slides
• EPFL - Semester project 2: On the continuous and discrete gradient conjecture   Slides
• EPFL - Semester project 1: Some Regularity Results for the Obstacle Problem   Slides   Poster presented at 2022 Gene Golub SIAM Summer School