An intermediate existence theory in the calculus of variations

A classical theorem proved by David Mumford in 1961 [4] is stated as follows: a normal complex algebraic surface with a simply connected link at a point x is smooth in x.. This was

Section 1 provides Riemannian versions of 3 classical results of geomet- ric measure theory: Allard’s regularity theorem, the link between first variation and mean curvature in the

These Green’s functions will once again be defined by diagrams.. Lagrangian formalism with external field. 3). Thus, by construction, these quantities

A necessary and sufficient condition seems to leave little hope of being able to apply the method to provide an existence theorem for absolutely continuous minimizers under

Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions.. Annales

On a classical problem of the calculus of variations without convexity assumptions.. Annales

(Of course the two ‘almost everywheres’ in this statement refer to ( n − 1 ) - and n-dimensional measure respectively.) We give the proof of Theorem 2.1 in the stated case in which

Perhaps one of them will lead to the confirmation of Morrey’s conjecture in some cases, or perhaps unpossibility to find an example of a rank-one convex function which does not satisfy