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arXiv · 1401.6204

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

Frédéric Robert·Jérôme Vétois
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Abstract

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

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Frédéric Robert, Jérôme Vétois. 2014-10-13. Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold. https://arxiv.org/abs/1401.6204

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