摘要

We are concerned with the following equation: @@@ -epsilon(2) Delta u + V (x) u = f (u); u (x) > 0 in R-2 . @@@ By a variational approach, we construct a solution u(epsilon) which concentrates, as epsilon -> 0, around arbitrarily given isolated local minima of the confining potential V : here the nonlinearity f has a quite general Moser's critical growth, as in particular we do not require the monotonicity of f (s) / s nor the AmbrosettiR abinowitz condition.