Existence Theorems: The Case of an Exceptional Set of No Growth
Any of the growth conditions (γl), (γ2), (γ3) in (11.1.i) can be remarkably reduced. Indeed, we may assume that on the points (t, x) of a “slender” subset S of A no growth condition holds. We shall see that this will lead to a notable enlargement of the class of problems for which we can prove the existence of an optimal solution.
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