Cr-Yamabe方程在球上的群作用及其多重性结果

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2015-12-30 DOI:10.6092/ISSN.2240-2829/5975

Vittorio Martino

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引用次数: 0

摘要

我们将证明CR-Yamabe方程有几个族的无穷多个变号解，每个解都有不同的对称性。这个问题是变分的，但它不是palais - small:在球上使用不同的复杂群作用，我们将找到许多闭子空间，我们可以在这些子空间上应用极小值论证。

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Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation

We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere, we will find many closed subspaces on which we can apply the minmax argument.

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来源期刊

Bruno Pini Mathematical Analysis Seminar MATHEMATICS-

CiteScore

0.30

自引率

0.00%

发文量

审稿时长

15 weeks