摘要

The equation -Delta u + F(V(epsilon x),u) = 0 is considered in R(n). For small epsilon > 0 it is shown to possess, under appropriate conditions, a non-degenerate solution u(epsilon) in H(2)(R(n)). It is shown that the linearised operator T(epsilon) at the solution satisfies parallel to T(epsilon)(-1)parallel to = O(epsilon(-2)) as epsilon --> 0.

  • 出版日期2010