English

On $W^{2,p}$-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

Analysis of PDEs 2020-12-15 v1

Abstract

This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and W2,pW^{2,p}-regularity results by finding approximate non-obstacle problems with the same oblique boundary condition and then making a suitable limiting process.

Keywords

Cite

@article{arxiv.2012.07442,
  title  = {On $W^{2,p}$-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions},
  author = {Sun-Sig Byun and Jeongmin Han and Jehan Oh},
  journal= {arXiv preprint arXiv:2012.07442},
  year   = {2020}
}