| Abstract: |
| The goals of this talk are two-folded. Firstly, we describe asymptotic behavior of least energy solutions to the fractional Lane-Emden equations and systems as the exponents of the nonlinearities tend to certain critical exponents. Secondly, we construct a variety of solutions such as multi-bubbles, bubble-towers and higher-dimensional concentrating solutions. The existence of such solutions tells us that the conformal covariance property of the equations `prevails` their nonlocal property. |
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