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Consider now the problem (NBVP) in [R.sup.n] (n > 1) for the nonlinear elliptic operator
Then the problem (NBVP) has a unique solution u [member of] [H.sup.1]([OMEGA]) [intersection] [H.sup.2]([OMEGA]).
The above theorems show that different from the one-dimensional case, for solvability of the multi-dimensional problem (NBVP) (n > 1), one needs to impose the additional conditions (3.5).
Let us apply the abstract monotone iteration scheme (4.7) to the problem (NBVP) given by (4.1)-(4.2).
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