Sign-changing blow-up for the Yamabe equation at the lowest energy level

DOI10.1016/j.aim.2022.108769OpenAlexW4308653070MaRDI QIDQ2099104

Bruno Premoselli, Jérôme Vétois

Publication date: 23 November 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.08770

zbMATH Keywords

Lyapunov-Schmidt reductioncritical Sobolev exponentcompactness resultssign-changing solutionsYamabe equationnon-compactness resultssecond-order semilinear elliptic equations on manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) PDEs on manifolds (35R01) Bifurcation theory for PDEs on manifolds (58J55)

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