Towering phenomena for the Yamabe equation on symmetric manifolds

DOI10.1007/s11118-016-9608-4zbMath1379.35104arXiv1603.01538OpenAlexW2964334174MaRDI QIDQ2014392

Giusi Vaira, Filippo Morabito, Angela Pistoia

Publication date: 11 August 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01538

zbMATH Keywords

Yamabe problemblow-up pointslinear perturbation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (14)

Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Multiplicity of nodal solutions to the Yamabe problem ⋮ Compactness for a class of Yamabe-type problems on manifolds with boundary ⋮ Clustered solutions to low-order perturbations of fractional Yamabe equations ⋮ Sign-changing solutions for critical equations with Hardy potential ⋮ Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary ⋮ Generic properties of critical points of the Weyl tensor ⋮ A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions ^* ⋮ Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five ⋮ Bubbling above the threshold of the scalar curvature in dimensions four and five ⋮ Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\) ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case

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