ON A DEGENERATE PROBLEM IN THE CALCULUS OF VARIATIONS

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

once formed). 3 examines the stability of the radial cavitating maps with respect to variations in the hole shape. It is shown that, in the class C1 0 }),

DACOROGNA, Existence of Solutions for a Variational Problem Associated to Models in Optimal Foraging Theory, J. DACOROGNA, Existence and Non-Existence Results for

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

problem the ellipticity constant tends to zero in the outer layer ; the equa- tions considered may be fully nonlinear.. Depending on the link between thickness

(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

There is an intimate relationship between this kind of problems and some singular perturbation problems in Optimal Control Theory.. Problems of this kind have

In Chapter V, the writer discusses the recent application by Eells and himself of a variational method in the theory of harmonic integrals.. We consistently use