The foundations of a theory of the calculus of variations in the large in 𝑚-space. II

LARGE 601 as our integral, where (x) stands for the set of derivatives of (x) with respect to the parameter /. We suppose that the problem is positively regular, that is, that (2.2) Yrirj{x, r)rim > 0 (i, j = 1, 2, , m) i i for (x) and (r) as before, and (77) any set not (0) nor proportional to (r).