Multiplicity of nodal solutions to the Yamabe problem

DOI10.1007/s00526-017-1237-2zbMath1379.35131arXiv1612.02102OpenAlexW2564352501MaRDI QIDQ1674632

Mónica Clapp, Juan Carlos Fernández

Publication date: 25 October 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02102

zbMATH Keywords

Riemannian manifoldYamabe problemnodal solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (13)

Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ A note on solutions of Yamabe-type equations on products of spheres ⋮ Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part ⋮ An upper bound for the least energy of a nodal solution to the Yamabe equation on the sphere ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ Low energy nodal solutions to the Yamabe equation ⋮ Yamabe systems and optimal partitions on manifolds with symmetries ⋮ Isoparametric functions and nodal solutions of the Yamabe equation ⋮ Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ Nodal solutions of Yamabe-type equations on positive Ricci curvature manifolds ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Yamabe problem in the presence of singular Riemannian foliations

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