Two families of nodal solutions to the Yamabe equation are constructed concentrating along two planar circles, including a new twisted variant that attains maximal rank in dimension 3.
Desingularization of clifford torus and nonradial solutions to the yamabe problem with maximal rank.Journal of Functional Analy- sis, 276(8):2470–2523
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Planar doubling nodal solutions to the Yamabe equation with maximal rank
Two families of nodal solutions to the Yamabe equation are constructed concentrating along two planar circles, including a new twisted variant that attains maximal rank in dimension 3.