Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace–Beltrami Equations on Spheres

DOI10.4153/CMB-2015-056-7zbMath1331.58024MaRDI QIDQ3460811

Emily M. Fischer, Alfonso Castro

Publication date: 8 January 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatorsemilinear equationsuperlinear nonlinearitysub-super critical nonlinearityrotational solution

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (5)

Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: a Taylor-Chebyshev series approach ⋮ On polar actions invariant solutions of semi-linear equations on manifolds ⋮ Computer-assisted proofs for radially symmetric solutions of PDEs ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ Shooting from singularity to singularity and a semilinear Laplace-Beltrami equation

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