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<p>We study the existence of a large solution to a semilinear problem in a bounded open <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C^{1,1}\)</EquationSource> </InlineEquation> set for a class of nonlocal operators obtained by an appropriate subordination of the Laplacian. These operators are classical generalisations of the fractional Laplacian. The existence result is shown under a nonlocal version of the Keller–Osserman condition, stated in terms of the subordinator and the source term <i>f</i>.</p>

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Large solutions to semilinear equations for subordinate Laplacians in \(C^{1,1}\) bounded open sets

  • 期刊论文

  • 发表日期：

    2025年12月19日

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  • Indranil Chowdhury,
  • Zoran Vondraček,
  • Vanja Wagner

摘要

We study the existence of a large solution to a semilinear problem in a bounded open \(C^{1,1}\) set for a class of nonlocal operators obtained by an appropriate subordination of the Laplacian. These operators are classical generalisations of the fractional Laplacian. The existence result is shown under a nonlocal version of the Keller–Osserman condition, stated in terms of the subordinator and the source term f.