Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
arXiv:1401.6204
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.
Final version to appear in "Calculus of Variations and PDEs"