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<p>We study a double-phase Neumann problem with non homogeneous boundary conditions, where the lowest exponent <i>p</i> is equal to 1. The existence of a solution is established as the limit of solutions to corresponding double-phase problems with <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p&gt;1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>&gt;</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. We also provide a variational characterization of the limit.</p>

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A double-phase Neumann problem with \(p = 1\)

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • Alexandros Matsoukas,
  • Nikos Yannakakis

摘要

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 \(p>1\) p > 1 . We also provide a variational characterization of the limit.