Publications & preprints
Luis Caffarelli; Antonio Farah; Daniel Restrepo. On the Grad-Mercier equation and Semilinear Free Boundary Problems, submitted for publication. arxiv version
Michael Novack, Daniel Restrepo, Anna Skorobogatova. Free boundary regularity for semilinear variational problems with a topological constraint , submitted for publication (2024). arxiv version
Daniel Restrepo, Xavier Ros-Oton, C^\infty regularity in semilinear free boundary problems, Accepted in Math. Ann. (2024) arxiv version
Matteo Bonorte; Francesco Maggi; Daniel Restrepo. Asymptotic behavior of a diffused interface volume-preserving mean curvature flow, (2024) arxiv version.
Francesco Maggi, Michael Novack, Daniel Restrepo. A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen-Cahn equation, submitted for publication (2023). arxiv version
Francesco Maggi, Michael Novack, Daniel Restrepo. Plateau borders in soap films and Gauss' capillarity theory, submitted for publication (2023). arxiv version
Francesco Maggi; Daniel Restrepo. Uniform stability in the Euclidean isoperimetric problem for the Allen-Cahn energy. Analysis & PDE, 17(5) arXiv version.
Óscar Agudelo; Daniel Restrepo.; Carlos Vélez. On the Morse Index of least energy nodal solutions for quasilinear elliptic problems. Calc. Var 59.2 (2020). Arkiv version.
Óscar Agudelo; Santiago Correa; Daniel Restrepo.; Carlos Vélez. Multiplicity results and qualitative properties for Neumann semilinear elliptic problems. JMAA (2018) Volume 468, Issue 1, Pages 141-160
Fernando Morales.; Daniel Restrepo. Homogenization of Diffusion Processes on Scale-Free Networks. Electron. J. Differential Equations, Vol. 2016 (2016), No. 282, pp 1-24.
Restrepo, Daniel, Duque, Juan; Church, Richard. Optimal region design to foster industrial diversification (Accepted in Regional Studies, 2021) arXiv version, GitHub.
Duque, Juan: Lozano, Nancy; Restrepo, Daniel E. Complex contagion and the p-Innovation Ecosystems model (Preprint upon request)
Invited talks
Analysis seminar, Columbia University: Plateau borders in soap films, April 2025.
PDE-Applied Math Seminar, University of Maryland: The Euclidean Isoperimetric problem and its gradient flow: a phase transitions approach, April 2025.
Analysis and Probability Seminar, Iowa state University: Plateau’s laws for surfaces of minimal capacity, April 2025.
Analysis Seminar, UC San Diego: Plateau’s laws for surfaces of minimal capacity, February 2025.