Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere

DOI10.1093/IMRN/RNAA053zbMath1475.35012arXiv1910.07101OpenAlexW3022415041MaRDI QIDQ5006237

Mónica Clapp, Alberto Saldaña, Andrzej Szulkin

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07101

zbMATH Keywords

phase separationYamabe problemnodal solutionsoptimal partition problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs on manifolds (35R01)

Related Items (7)

Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ Existence and convergence of solutions to fractional pure critical exponent problems ⋮ Configuration spaces and multiple positive solutions to a singularly perturbed elliptic system ⋮ Critical polyharmonic systems and optimal partitions ⋮ Yamabe systems and optimal partitions on manifolds with symmetries ⋮ Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary ⋮ Yamabe problem in the presence of singular Riemannian foliations

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