Bifurcating Solutions of a Nonlinear Elliptic Neumann Problem on Large Spherical Caps

DOI10.1619/fesi.62.285zbMath1440.35076OpenAlexW3008717805MaRDI QIDQ5110295

Yoshitsugu Kabeya, Catherine Bandle, Hirokazu Ninomiya

Publication date: 18 May 2020

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.62.285

zbMATH Keywords

eigenvalue problemspherical capNeumann boundary conditionLaplace-Beltrami operatorLegendre equationbifurcating solutionanalytic perturbation of eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spherical harmonics (33C55) Semilinear elliptic equations (35J61)

Related Items (2)

Scaling inequalities for spherical and hyperbolic eigenvalues ⋮ Turing pattern formation on the sphere is robust to the removal of a hole

Cites Work

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