Your setup is not valid, unfortunately. If a backbone area is partitioned like yours, it must be made connected either using a virtual link or a tunnel. If you keep your network in the current state, without a virtual link or a tunnel, you can not, for example, enlarge the backbone area at either side with another area - for example, consider the sequence of areas 1-0-5-0. OSPF rules mandate that on ABRs, LSA-3 are processed only if received from a backbone area. This will cause the networks from area 1 to be unreachable in the rightmost area 0. In similar way, there could be other reachability issues occuring in your setup.
The kind of route filtering you are seeking for is hard to achieve with OSPF. The idea with having the area 5 configured as stub area is quite clever but you can not create a virtual link over a stub area - that is a deliberate OSPF limitation. Personally, I would strongly suggest creating a GRE or IP-in-IP tunnel over the area 5 between the ABRs, and running the OSPF over this tunnel (keeping this tunnel in area 0).
The problem is that the asbr is not also the abr in my case. And if i do this in the asbr, the E2 routes will be filtered not only in area 5 but in the whole ospf domain at my left side which is something I do not want.
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