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Global $W^{2,\delta}$ estimates for a type of singular fully nonlinear elliptic equations

Analysis of PDEs 2017-09-15 v1
Authors: Dongsheng Li , Zhisu Li
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Abstract

We obtain global W2,δW^{2,\delta} estimates for a type of singular fully nonlinear elliptic equations where the right hand side term belongs to L∞L^\infty. The main idea of the proof is to slide paraboloids from below and above to touch the solution of the equation, and then to estimate the low bound of the measure of the set of contact points by the measure of the set of vertex points.

Keywords

singular fully nonlinear elliptic equations global W^{2,δ} estimates L^∞ right-hand side paraboloid sliding contact points vertex points measure estimates

Cite

@article{arxiv.1709.04704,
  title  = {Global $W^{2,\delta}$ estimates for a type of singular fully nonlinear elliptic equations},
  author = {Dongsheng Li and Zhisu Li},
  journal= {arXiv preprint arXiv:1709.04704},
  year   = {2017}
}

Comments

17 pages

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