English

A double-phase Neumann problem with $p=1$

Analysis of PDEs 2025-09-17 v2

Abstract

We study a double-phase Neumann problem with non-homogeneous boundary conditions, where the lowest exponent pp is equal to 1. The existence of a solution is established as the limit of solutions to corresponding double-phase problems with p>1p>1. We also provide a variational characterization of the limit.

Keywords

Cite

@article{arxiv.2508.13772,
  title  = {A double-phase Neumann problem with $p=1$},
  author = {Alexandros Matsoukas and Nikos Yannakakis},
  journal= {arXiv preprint arXiv:2508.13772},
  year   = {2025}
}

Comments

18 pages

R2 v1 2026-07-01T04:56:39.875Z