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Doubling nodal solutions to the Yamabe equation in Rn with maximal rank
Journal de Mathématiques Pures et Appliquées ( IF 2.3 ) Pub Date : 2021-05-28 , DOI: 10.1016/j.matpur.2021.05.011
Maria Medina , Monica Musso

We construct a new family of entire solutions to the Yamabe equationΔu=n(n2)4|u|4n2u in D1,2(Rn). If n=3 our solutions have maximal rank, being the first example in odd dimension. Our construction has analogies with the doubling of the equatorial spheres in the construction of minimal surfaces in S3(1).



中文翻译:

Yamabe 方程的双节点解 电阻n 最高等级

我们为 Yamabe 方程构建了一个新的完整解系列-Δ=n(n-2)4||4n-2 在 D1,2(电阻n). 如果 n=3我们的解决方案具有最大秩,是奇数维中的第一个示例。我们的构造类似于在极小曲面构造中将赤道球体加倍3(1).

更新日期:2021-07-01
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