English

Equivalence of weak and viscosity solutions in fractional non-homogeneous problems

Analysis of PDEs 2020-11-19 v2

Abstract

We establish the equivalence between the notions of weak and viscosity solutions for non-homogeneous equations whose main operator is the fractional p-Laplacian and the lower order term depends on xx, uu and DspuD_s^p u, being the last one a type of fractional derivative.

Keywords

Cite

@article{arxiv.2006.08384,
  title  = {Equivalence of weak and viscosity solutions in fractional non-homogeneous problems},
  author = {Begoña Barrios and Maria Medina},
  journal= {arXiv preprint arXiv:2006.08384},
  year   = {2020}
}