RT Journal Article
T1 On some Bernoulli free boundary type problems for general elliptic operators
A1 Díaz Díaz, Jesús Ildefonso
A1 Padial Molina, Juan Francisco
A1 Rakotoson, Jean Michel Theresien
AB 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.
PB Cambridge University Press
SN 0308-2105
YR 2007
FD 2007-09-18
LK https://hdl.handle.net/20.500.14352/49943
UL https://hdl.handle.net/20.500.14352/49943
LA eng
NO DGISGPI (Spain).
NO EC
DS Docta Complutense
RD 8 abr 2025