%0 Journal Article
%A Díaz Díaz, Jesús Ildefonso
%A Padial Molina, Juan Francisco
%A Rakotoson, Jean Michel Theresien
%T On some Bernoulli free boundary type problems for general elliptic operators
%D 2007
%@ 0308-2105
%U https://hdl.handle.net/20.500.14352/49943
%X We 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.
%~