Existence theorem in the variational problem for compressible inviscid fluids (Q1111862)

This paper starts from Young's concept of a generalized curve, which may be used if the existence of minima of hemibounded functionals with a non- convex integrand are considered in the context of functions whose curvature is uniformly bounded. The author then proceeds to modify this approach in an attempt to define a weak solution for the equations of an inviscid compressible fluid on the basis of a variational principle.