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arXiv · 2508.13772

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

Alexandros Matsoukas·Nikos Yannakakis
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Abstract

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

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Alexandros Matsoukas, Nikos Yannakakis. 2025-08-19. A double-phase Neumann problem with $p=1$. https://doi.org/10.1007/s00030-025-01179-8

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