2024
DOI: 10.1002/mana.202300488
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Single‐peak solution for a fractional slightly subcritical problem with non‐power nonlinearity

Shengbing Deng,
Fang Yu

Abstract: We consider the following fractional problem involving slightly subcritical non‐power nonlinearity, where is a smooth bounded domain in , , , is the fractional critical Sobolev exponent and is a small parameter, is the spectral fractional Laplacian operator. We construct a positive bubbling solution, which concentrates at a nondegenerate critical point of the Robin function by Lyapunov–Schmidt reduction procedure.

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