| Abstract: |
| We address the stability issue on the fractional Yamabe equation by considering blowing-up solutions to its perturbations. Remarkably, even though the fractional conformal Laplacian is defined in a nonlocal manner, its conformal covariance property produces highly localized solutions to the perturbed fractional Yamabe equations. We provide several conditions that guarantee the existence of one-bubble, clustered-bubbles and bubble-tower type solutions. |
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