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Through desingularization of Clifford torus, we prove the existence of a sequence of nondegenerate (in the sense of Duyckaerts–Kenig–Merle ()) nodal nonradial solutions to the critical Yamabe problem −Δu=[Formula presented]|u| [Formula presented] u,u∈D 1,2 (R n ). The case n=4 is the first example in the literature of a solution with maximal rank N=2n+1+[Formula presented].
- Entire solutions
- Gluing methods
- Rigidity properties for entire solutions
- Yamabe problem
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