Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation. Á. Castro, D. Faraco, F. Mengual and M. Solera. arXiv preprint arXiv:2502.10274
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation. Á. Castro, D. Faraco, F. Mengual and M. Solera. Journal für die reine und angewandte Mathematik (Crelles Journal) 824, 253-288 (2025).
Characterization of the subdifferential and minimizers for the anisotropic p-capacity. E. Cabezas-Rivas, S. Moll and M. Solera. Advances in Calculus of Variations 18 (1), 25-48 (2025).
Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of -capacitary potentials. E. Cabezas-Rivas, S. Moll and M. Solera. Journal of Functional Analysis 287 (11), 110642 (2024).
Segmentation in Measure Spaces. S. Moll, V. Pallardó-Julià and M. Solera. Applied Mathematics & Optimization 89 (3), 66 (2024).
Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions. M. Solera and J. Toledo. Journal of Evolution Equations 23 (2), 24 (2023).
(BV, L^p)-decomposition, p= 1, 2, of functions in metric random walk spaces. J.M. Mazón, M. Solera and J. Toledo. Advances in Calculus of Variations 15 (3), 515-550 (2022).
Evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces. J.M. Mazon, M. Solera and J. Toledo. Nonlinear Analysis 197, 111813 (2020).
The heat flow on metric random walk spaces. J.M. Mazón, M. Solera and J. Toledo. Journal of Mathematical Analysis and Applications 483 (2), 123645 (2020).
The total variation flow in metric random walk spaces. J.M. Mazón, M. Solera and J. Toledo. Calculus of Variations and Partial Differential Equations 59, 1-64 (2020).
Books
Variational and Diffusion Problems in Random Walk Spaces. J.M. Mazón, M. Solera and J. Toledo. Progress in Nonlinear Differential Equations and Their Applications 103 (Birkhäuser), 2023.
Expository Papers
Gradient flows in metric random walk spaces J.M. Mazón, M. Solera and J. Toledo. SeMA Journal 79 (1), 3-35 (2022).