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Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2021-05-17 , DOI: 10.1142/s0219199721500358 Marco G. Ghimenti 1 , Anna Maria Micheletti 1
中文翻译:
非脐带边界流形上超临界 Yamabe 问题的解决方案
更新日期:2021-05-17
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2021-05-17 , DOI: 10.1142/s0219199721500358 Marco G. Ghimenti 1 , Anna Maria Micheletti 1
Affiliation
We build blowing-up solutions for a supercritical perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is and the trace-free part of the second fundamental form is nonzero everywhere on the boundary.
中文翻译:
非脐带边界流形上超临界 Yamabe 问题的解决方案
我们为带有边界的流形上的 Yamabe 问题的超临界扰动建立了爆破解决方案,前提是流形的维度是第二基本形式的无迹部分在边界处处处为非零。