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

Published 19 Aug 2025 in math.AP | (2508.13772v1)

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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