论文标题

均质组中具有关键指数的非局部半线性方程溶液的最佳衰减

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

论文作者

Garofalo, Nicola, Loiudice, Annunziata, Vassilev, Dimiter

论文摘要

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.

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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