English

H\"older continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Analysis of PDEs 2021-02-25 v2

Abstract

We prove local C0,αC^{0,\alpha}- and C1,αC^{1,\alpha}-regularity for the local solution to an obstacle problem with non-standard growth. These results cover as special cases standard, variable exponent, double phase and Orlicz growth.

Keywords

Cite

@article{arxiv.2006.08244,
  title  = {H\"older continuity of the minimizer of an obstacle problem with generalized Orlicz growth},
  author = {Arttu Karppinen and Mikyoung Lee},
  journal= {arXiv preprint arXiv:2006.08244},
  year   = {2021}
}