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Indeed, it is easy to check that (3.10).
Indeed it is easy to check the inequality (3.23).
Indeed, it is easy to check that ( 0, 0 ) is a coupled coincidence point of F and G.
Indeed, it is easy to check that the w-UKK* property implies that the Szlenk index is finite for some.
Indeed, it is easy to check that no buckled solution exists when all of them are of the same length.
We claim now that P 0, w) is identically equal to 1. Indeed, it is easy to check by induction that (t_{n}=0 Rightarrow t_{n+1}=0) and thus (t=0) implies that each term (P_{n} t,w =1) for (n ge 1).
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So, it is easy to check that,, provided that.
Indeed, it is easy to see that.
(4.5) It is easy to check that it is indeed a norm on (S_{0h}(Omega)).
Furthermore, it is easy to check that T is indeed a positive operator by integration by parts argument.
Now, it is easy to check that also and so.
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