English

Regularity of minimizers of some variational integrals with discontinuity

Analysis of PDEs 2020-05-26 v1

Abstract

We prove regularity properties in the vector valued case for minimizers of variational integrals of the form A(u)=ΩA(x,u,Du)dxA(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.

Keywords

Cite

@article{arxiv.2005.11476,
  title  = {Regularity of minimizers of some variational integrals with discontinuity},
  author = {Maria Alessandra Ragusa and Atsushi Tachikawa},
  journal= {arXiv preprint arXiv:2005.11476},
  year   = {2020}
}