Variational Integrals on Orlicz-Sobolev Spaces

  • Martin Fuchs

    Universität des Saarlandes, Saarbrücken, Germany
  • V. Osmolovski

    St. Petersburg State University, Russian Federation


We consider vector functions minimizing variational integrals of the form with convex density whose growth properties are described in terms of an -function with limsup. We then prove - under certain technical assumptions on - full regularity of provided that , and partial -regularity in the case . The main feature of the paper is that we do not require any power growth of .

Cite this article

Martin Fuchs, V. Osmolovski, Variational Integrals on Orlicz-Sobolev Spaces. Z. Anal. Anwend. 17 (1998), no. 2, pp. 393–415

DOI 10.4171/ZAA/829