English

Test function approach to fully nonlinear equations in thin domains

Analysis of PDEs 2024-05-01 v1

Abstract

In this note we extend to fully nonlinear operators the well known result on thin domains of Hale and Raugel. The result is more general even in the case of the Laplacian.

Cite

@article{arxiv.2404.19577,
  title  = {Test function approach to fully nonlinear equations in thin domains},
  author = {Isabeau Birindelli and Ariela Briani and Hitoshi Ishii},
  journal= {arXiv preprint arXiv:2404.19577},
  year   = {2024}
}

Comments

15 pages

R2 v1 2026-06-28T16:11:31.917Z