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Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous groups
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View
- Published online by Cambridge University Press:
- 14 May 2024, pp. 1-29
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- Article
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In this paper, we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation $\mathcal {L}_s u=u^{\frac {Q+2s}{Q-2s}}$
in a homogeneous Lie group, where $\mathcal {L}_s$
represents a suitable pseudodifferential operator modelled on a class of nonlocal operators arising in conformal CR geometry.
