Abstrakt
It is shown that there exist functionals in Calculus of Variations defined on Sobolev spaces of scalar functions whose minimizers have non-Lebesgue points everywhere in a fractal set of big Hausdorff dimension.
It is shown that there exist functionals in Calculus of Variations defined on Sobolev spaces of scalar functions whose minimizers have non-Lebesgue points everywhere in a fractal set of big Hausdorff dimension.