Díaz Díaz, Jesús IldefonsoPadial Molina, Juan FranciscoRakotoson, Jean Michel Theresien2023-06-202023-06-202007-09-180308-210510.1017/S0308210506000370https://hdl.handle.net/20.500.14352/49943We consider some Bernoulli free boundary type problems for a general class of quasilinear elliptic (pseudomonotone) operators involving measures depending on unknown solutions. We treat those problems by applying the Ambrosetti-Rabinowitz minimax theorem to a sequence of approximate nonsingular problems and passing to the limit by some a priori estimates. We show, by means of some capacity results, that sometimes the measures are regular. Finally, we give some qualitative properties of the solutions and, for a special case, we construct a continuum of solutions.engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1199064http://www.cambridge.orgrestricted access517.98t-setequationsexistenceconfinementstellaratorregularitydatum.Análisis funcional y teoría de operadores