After undergraduate studies at the University of the Basque Country (Bilbao), she did her PhD thesis at the Pierre and Marie Curie University (Paris), under the direction of Pierre-Louis Lions.[2] After her thesis, she became full-time researcher at CNRS, where she holds now a position of emerita director of research.[3] She is a member of CEREMADE, research center of the Université Paris-Dauphine.[1]
Esteban, M. J.; Lions, P. L. (1982). "Existence and non-existence results for semilinear elliptic problems in unbounded domains". Proceedings of the Royal Society of Edinburgh. Section A: Mathematics. 93 (1–2): 1–14. doi:10.1017/s0308210500031607. ISSN0308-2105. S2CID123839832.
Esteban, Maria J.; Lions, Pierre-Louis (1989). "Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field". Partial Differential Equations and the Calculus of Variations. Boston, MA: Birkhäuser Boston. doi:10.1007/978-1-4615-9828-2_18. ISBN978-1-4615-9830-5.