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

2025/06/16 by Chowdhury, Indranil, Vondraček, Zoran, Wagner, Vanja · 1 citation
#31C05 #35A01 (Primary) 35R11 #35J61 #45K05 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.13462

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.

Citations

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Cited by

• Large solutions for subordinate spectral Laplacian

Related

• Semilinear equations for non-local operators: beyond the fractional Laplacian
• Large solutions for subordinate spectral Laplacian
• Semilinear Dirichlet problem for subordinate spectral Laplacian
• Large solutions for fractional Laplacian operators
• Large Solutions for Fractional Laplacian on Infinite Cylindrical Domains