Fractional Laplacian in Conformal Geometry

Abstract

In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.

References in corpus (3)

• Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian
• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• Volume and Area Renormalizations for Conformally Compact Einstein Metrics

Cited by in corpus (1)

• Uniqueness and Nondegeneracy of Ground States for $(-\Delta {)}^{s}Q+Q-Q^{\alpha +1}=0$ in $\mathbb{R}$