English

Coarse Regularity of Solutions to a Nonlinear Sigma-model with~$L^p$~gravitino

Analysis of PDEs 2017-09-19 v2 Differential Geometry

Abstract

The regularity of weak solutions of a two-dimensional nonlinear sigma model with coarse gravitino is shown. Here the gravitino is only assumed to be in LpL^p for some p>4p>4. The precise regularity results depend on the value of pp.

Keywords

Cite

@article{arxiv.1701.01995,
  title  = {Coarse Regularity of Solutions to a Nonlinear Sigma-model with~$L^p$~gravitino},
  author = {Jürgen Jost and Ruijun Wu and Miaomiao Zhu},
  journal= {arXiv preprint arXiv:1701.01995},
  year   = {2017}
}

Comments

15 pages, 3 figures. With typos corrected and some references updated. To appear in Calculus of Variations and PDE