@ARTICLE{ClvM02,
  author = {Clarenz, U. and von der Mosel, H.},
  title = {Isoperimetric Inequalities for Parametric Variational Problems},
  journal = {Ann. I. H. Poincar\'e - AN},
  year = {2002},
  volume = {19},
  pages = {617--629},
  number = {5},
  abstract = {We prove isoperimetric inequalities for general parametric variational
	double integrals $\mathcal{F}$ whose Lagrangians $F$ depend on the
	position vector $X$ and on the surface normal $N.$ As an essential
	tool we introduce Sauvigny's $F$-conformal parameters adapted to
	the parametric integrand and use the notion of generalized mean and
	Gaussian curvature adapted to the integrand. The special cases of
	minimal surfaces, surfaces of bounded mean curvature and $\mathcal{F}$-minimizing
	surfaces are also discussed.},
  pdf = {http://numod.ins.uni-bonn.de/research/papers/public/ClvM02.pdf}
}