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math.OC2011
A coarea-type formula for the relaxation of a generalized elastica functional
Simon Masnou, Giacomo Nardi
We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functi…
math.OC2011
Gradient Young measures, varifolds, and a generalized Willmore functional
Simon Masnou, Giacomo Nardi
Being Omega an open and bounded Lipschitz domain of R^n, we consider the generalized Willmore functional on Omega defined, for smooth functions, as the p-Willmore energy of each is…