Large solutions to semilinear equations for subordinate Laplacians in $C^{1,1}$ bounded open sets
Analysis of PDEs
2025-06-17 v1
Abstract
We study the existence of a large solution to a semilinear problem in a bounded open 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 .
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Cite
@article{arxiv.2506.13462,
title = {Large solutions to semilinear equations for subordinate Laplacians in $C^{1,1}$ bounded open sets},
author = {Indranil Chowdhury and Zoran Vondraček and Vanja Wagner},
journal= {arXiv preprint arXiv:2506.13462},
year = {2025}
}
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24 pages