English

Analysis of solution to an elliptic free boundary value problem equipped with a `bad' data

Analysis of PDEs 2024-04-15 v2

Abstract

We will study a free boundary value problem driven by a source term which is quite {\it irregular}. In the process, we will establish a monotonicity result, and regularity of the solution.

Keywords

Cite

@article{arxiv.2403.18273,
  title  = {Analysis of solution to an elliptic free boundary value problem equipped with a `bad' data},
  author = {Debajyoti Choudhuri and Shengda Zeng},
  journal= {arXiv preprint arXiv:2403.18273},
  year   = {2024}
}
R2 v1 2026-06-28T15:35:04.622Z