Research Publications Below you can find all my publications. I am always open to new partnerships. Please feel free to contact me. [Preprints] I.S. da Silva, M.T.O. Pimenta, P.F. Pontes, Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities (Preprint). P.F. Pontes, J.V. Silva, M. Yang, Boundary regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals with non-standard growth (Preprint). P.F. Pontes, M. Yang, Regularity theory for mixed local-nonlocal problem involving general stable operators (Preprint). [2026] P.F. Pontes, J.V. Silva, M. Yang, Lipschitz Regularity of Almost-Minimizers for Vectorial Alt-Caffarelli Functionals in Orlicz Spaces, Bull. Braz. Math Soc., New Series 57, 38 (2026). https://doi.org/10.1007/s00574-026-00526-2. P.F. Pontes, M. Yang, A two phase free boundary problem involving exponential operator, Topol. Methods Nonlinear Anal., 67, 317–344, (2026). P.F. Pontes, A global existence result for a class of double-phase eigenvalue problems with non-standard growth, NoDEA Nonlinear Differential Equations Appl., 33, Paper No 21, (2026). [2025] J.A. Santos, P.F.S. Pontes, J.P.P. Silva, Global branching for discontinuous problems with critical exponential growth, J. Differential Equations, 424, 660-725, (2025). [2023] J.A. Santos, P.F.S. Pontes, S.H.M. Soares, A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities, Calc. Var. Partial Differ. Equ., 62, (3), 91, (2023).