Scalar Minimizers with Fractal Singular Sets View Full Text


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Article Info

DATE

2004-05

AUTHORS

Irene Fonseca, Jan Malý, Giuseppe Mingione

ABSTRACT

Lack of regularity of local minimizers for convex functionals with non-standard growth conditions is considered. It is shown that for every ɛ>0 there exists a function aCα(Ω) such that the functional admits a local minimizer uW1,p(Ω) whose set of non-Lebesgue points is a closed set Σ with dimℋ(Σ)>N−p−ɛ, and where 1 More... »

PAGES

295-307

References to SciGraph publications

  • 1982-07. On the regularity of the minima of variational integrals in ACTA MATHEMATICA
  • 2000-04. A singular minimizer of a smooth strongly convex functional in three dimensions in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 1987-06. Growth conditions and regularity, a counterexample in MANUSCRIPTA MATHEMATICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00205-003-0301-6

    DOI

    http://dx.doi.org/10.1007/s00205-003-0301-6

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1042146594


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