| Abstract: |
| In this talk, we will see how to construct nonradial positive entire solutions to critical competitive systems in dimension $d = 3$. More precisely, we will see how to use sing-changing entire solutions to the Yamabe equation to construct solutions blowing-up at the vertices of suitable regular polygons. Finally, we will compare our solutions with their counterpart in dimension $d = 4$, revealing some particular features of the $3d$ case. |
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