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- W3022415041 abstract "Abstract We study an optimal $M$-partition problem for the Yamabe equation on the round sphere, in the presence of some particular symmetries. We show that there is a correspondence between solutions to this problem and least energy sign-changing symmetric solutions to the Yamabe equation on the sphere with precisely $M$ nodal domains. The existence of an optimal partition is established through the study of the limit profiles of least energy solutions to a weakly coupled competitive elliptic system on the sphere." @default.
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- W3022415041 date "2020-05-03" @default.
- W3022415041 modified "2023-10-03" @default.
- W3022415041 title "Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere" @default.
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- W3022415041 doi "https://doi.org/10.1093/imrn/rnaa053" @default.
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