| Popis: |
In this paper, we consider fractional CR Yamabe type equations of order 2γ, 0 γ n + 1 , on the standard CR Manifold ( S 2 n + 1 , θ 0 ) , n ≥ 1 . By studying the asymptotic behaviors of the associated pseudo-gradient flows, we give a complete description of the bubbling phenomena of the related variational structure. We were able to fully characterize concentration phenomena for all blow-up points. Our results are novel and require a subtle analysis. All previous contributions addressed this aspect in a perturbative setting or only in the three-dimensional case. We also provide a variety of functions which can be achieved as conformal fractional CR Q-curvatures on S 2 n + 1 . |
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