Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

被引：0

作者：

Frédéric Robert

Jérôme Vétois

机构：

[1] Université de Lorraine,Institut Élie Cartan, UMR 7502

[2] Pacific Institute for the Mathematical Sciences,Laboratoire J.

[3] UMI CNRS 3069,A. Dieudonné, CNRS UMR 7351

[4] Université de Nice Sophia Antipolis,undefined

来源：

Calculus of Variations and Partial Differential Equations | 2015年 / 54卷

关键词：

35J20; 35J60; 58J05; 35B44;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct blowing-up sign-changing solutions to some nonlinear critical equations by glueing a standard bubble to a degenerate function. We develop a new method based on analyticity to perform the glueing when the critical manifold of solutions is degenerate and no Bianchi–Egnell type condition holds.

引用

页码：693 / 716

页数：23

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