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arXiv · 2210.16893

Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous group

Nicola Garofalo·Annunziata Loiudice·Dimiter Vassilev
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Abstract

In this paper we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation $\frlap u=u^{\frac{Q+2s}{Q-2s}}$ in a homogeneous Lie group, where $\frlap$ represents a suitable pseudodifferential operator modelled on a class of nonlocal operators arising in conformal CR geometry.

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Nicola Garofalo, Annunziata Loiudice, Dimiter Vassilev. 2022-10-30. Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous group. https://arxiv.org/abs/2210.16893

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