CONSTRUCTION OF SINGULAR LIMITS FOR 2-DIM ENSIONAL NONLINEAR ELLIPTICPROBLEMS

Let Omega be a bounded domain in C and f an exponentially dominated no nlinear function, We are interestered in the semilinear elliptic probl em (1) -Delta u = rho(2)f(u) in Omega and u = 0 on partial derivative Omega, when rho tends to 0. Under some hypothesis on the nonlinearity f, we construct sequences of solutions which blow up at finitely many points when rho tends to 0.