English

Harnack inequality for the fractional nonlocal linearized Monge--Amp\`ere equation

Analysis of PDEs 2017-07-17 v2 Classical Analysis and ODEs Functional Analysis

Abstract

The fractional nonlocal linearized Monge--Amp\`ere equation is introduced. A Harnack inequality for nonnegative solutions to the Poisson problem on Monge--Amp\`ere sections is proved.

Keywords

Cite

@article{arxiv.1605.06165,
  title  = {Harnack inequality for the fractional nonlocal linearized Monge--Amp\`ere equation},
  author = {D. Maldonado and P. R. Stinga},
  journal= {arXiv preprint arXiv:1605.06165},
  year   = {2017}
}

Comments

46 pages, 2 figures. To appear in Calculus of Variations and Partial Differential Equations