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arXiv · 2506.13462

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

Indranil Chowdhury·Zoran Vondraček·Vanja Wagner
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Abstract

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 $f$.

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Indranil Chowdhury, Zoran Vondraček, Vanja Wagner. 2025-06-16. Large solutions to semilinear equations for subordinate Laplacians in $C^{1,1}$ bounded open sets. https://arxiv.org/abs/2506.13462

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