Remarks on vacuum state and uniqueness of concentration process

Indeed, the group of scaling transformations acts on the solution of the system considered. But these are particular solutions. For example, in [2], such solutions are considered in a quite different context. In [1], the assertion that a vacuum domain exists is derived from the assumption that such invariant solutions are unique. Such an assertion (in form, it pretends to be a description of some physically meaninful phenomenon) cannot be made based only on the consideration of particular solutions. ∗This work was partially supported by RFBR under grant no. 05-01-00912.