D.J. Araújo and R. Teymurazyan, Interacting free boundaries in obstacle problems, submitted.
R. Teymurazyan, The fractional Laplacian: a primer, Coimbra Mathematical Texts, Springer Cham, to appear.
C. Alcantara, E.A. Pimentel, and J.M. Urbano, Hessian regularity in Hölder spaces for a semi-linear bi-Laplacian equation, submitted.
D.J. Araújo, G.S. Sá, E.V. Teixeira and J.M. Urbano, Oscillatory free boundary problems in stochastic materials, arXiv:2404.03060.
E.A. Pimentel and J.M. Urbano (Eds.), Modern methods in the analysis of free boundary problems, Coimbra Mathematical Texts, Springer Cham, to appear.
N. Igbida and J.M. Urbano, A granular model for crowd motion and pedestrian flow, arXiv:2402.17361.
D.J. Araújo, R. Teymurazyan, and J.M. Urbano, Hausdorff measure estimates for the degenerate quenching problem, arXiv:2402.11536.
D.J. Araújo, A. Sobral, E.V. Teixeira, and J.M. Urbano, On free boundary problems shaped by oscillatory singularities, arXiv:2401.08071.
V. Bianca, E.A. Pimentel, and J.M. Urbano, Transmission problems: regularity theory, interfaces and beyond, Coimbra Mathematical Texts, Springer Cham, to appear.
D.J. Araújo and J.M. Urbano, The ∞−Laplacian: from AMLEs to Machine Learning, IMPA, 2023, ISBN 978-85-244-0529-7.
V. Bianca, E.A. Pimentel and J.M. Urbano, Improved regularity for a Hessian-dependent functional, Proc. Amer. Math. Soc., to appear.
D.J. Araújo, G.S. Sá, and J.M. Urbano, Sharp regularity for a singular fully nonlinear parabolic free boundary problem, J. Differential Equations389 (2024), 90-113.
V. Bianca, E.A. Pimentel, and J.M. Urbano, BMO-regularity for a degenerate transmission problem, Anal. Math. Phys. 14 (2024), Article 9 (26 pages).
D. dos Prazeres, A. Sobral, and J.M. Urbano, Cordes-Nirenberg type results for nonlocal equations with deforming kernels, arXiv:2212.07228.
D. Jesus, E.A. Pimentel, and J.M. Urbano, Fully nonlinear Hamilton-Jacobi equations of degenerate type, Nonlinear Anal. 227 (2023), Paper No. 113181, 15 pp.
