Regularity of Minimizers of some Variational Integrals with Discontinuity

  • Maria Alessandra Ragusa

    Università degli Studi di Catania, Italy
  • Atsushi Tachikawa

    Tokyo University of Science, Japan

Abstract

We prove regularity properties in the vector valued case for minimizers of variational integrals of the form

\A(u)=ΩA(x,u,Du)dx\A(u) = \int_\Omega A(x,u,Du)\,dx

where the integrand A(x,u,Du)A(x,u,Du) is not necessarily continuous respect to the variable~x,x, grows polinomially like ξp,|\xi|^p, p2.p \geq 2.

Cite this article

Maria Alessandra Ragusa, Atsushi Tachikawa, Regularity of Minimizers of some Variational Integrals with Discontinuity. Z. Anal. Anwend. 27 (2008), no. 4, pp. 469–482

DOI 10.4171/ZAA/1366