Research Publications Below you can find all my publications. I am always open to new partnerships. Please feel free to contact me. 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). P.F. Pontes, J.V. Silva, M. Yang, Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces (Preprint). 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). 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). 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).