The wedding ceremony consists of two parts, the Erusin (also known as Qiddushin) and the Nisuin (sometimes also referred to as Huppah). At one time they were held at different times (such as a year apart). Nowadays, they are both done together (one following the other) under the Huppah.
The blessings of the Erusin (the first portion) should be done in the presence of a Minyan (quorum of 10 males), however, if a Minyan is not available, they may be recited with less than ten. The 7 blessings (Sheba' Berakhoth) of the Nisuin, however, require a Minyan and may not be made with less.
Nowadays, it is a fairly simple matter to get a Minyan in most places or to travel to a place where there is one in order to perform the wedding. But what if the couple wishing to get married are in a place which does not have ten males in the whole land, and are unable to travel to another location? In such a case, where they really have no alternative, they can rely on the lenient opinion and perform the second portion of the wedding ceremony with just one Berakha (Asher Bara). However, after they are married, when they are able to go to a place where there is a Minyan, they should go to a Huppah in that town and listen to the full Sheba' Berakhoth and have in mind that these blessings apply to them also.
(See Ben Ish Hai, Yr. 1. Parashath Shophtim, Oth 14)