Research

1. Caffarelli, Luis; Farah, Antonio; Restrepo, Daniel; Tomasetti, Ignacio. On the Grad-Mercier equation in plasma physics: uniqueness, regularity, and free boundary analysis, in preparation.

2.  Bonforte, Matteo; Maggi, Francesco; Restrepo, Daniel. Long time behavior of a diffused interface volume-preserving mean curvature flow, in preparation. 

3. F. Maggi, M. Novack, D. Restrepo. A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen-Cahn equation, submitted for publication (2023). arxiv version

4. F. Maggi, M. Novack, D. Restrepo. Plateau borders in soap films and Gauss' capillarity theory, submitted for publication (2023). arxiv version

5. Francesco Maggi;  Daniel Restrepo. Uniform stability in the Euclidean isoperimetric problem for the Allen-Cahn energy. Accepted in Analysis & PDE. arXiv version.

6. Agudelo, Oscar; Restrepo, Daniel E.; Vélez, Carlos.  On the Morse Index of least energy nodal solutions for quasilinear elliptic problems. Calculus of Variations and Partial Differential Equations 59.2 (2020). Arkiv version.

7. Agudelo, Oscar; Correa, Santiago; Restrepo, Daniel E.; Vélez, Carlos. Multiplicity results and qualitative properties for Neumann semilinear elliptic problems. Journal of Mathematical Analysis and Applications (2018)  Volume 468, Issue 1, Pages 141-160

8. Morales, Fernando A.; Restrepo Daniel E. Homogenization of Diffusion Processes on Scale-Free Networks. Electron. J. Differential Equations, Vol. 2016 (2016), No. 282, pp 1-24.

Economics

9. Restrepo, Daniel, Duque, Juan; Church, Richard.  Optimal region design to foster industrial diversification (Accepted in Regional Studies, 2021) arXiv version, GitHub.

10. Duque, Juan: Lozano, Nancy; Restrepo, Daniel E. Complex contagion and the p-Innovation Ecosystems model (To appear)