Imperfect bifurcations in nonlinear elliptic equations on spherical caps

DOI10.3934/CPAA.2010.9.1189zbMath1202.35096OpenAlexW2023925794MaRDI QIDQ609040

Hirokazu Ninomiya, Catherine Bandle, Yoshitsugu Kabeya

Publication date: 30 November 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1189

zbMATH Keywords

bifurcationfixed point theoremsnonlinear elliptic equationsspherical coordinates

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Boundary value problems for second-order elliptic equations (35J25) Theoretical approximation in context of PDEs (35A35) Applications of operator theory to differential and integral equations (47N20) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Related Items (5)

The Emden-Fowler equation on a spherical cap of \(\mathbb{S}^n\) ⋮ Bifurcating Solutions of a Nonlinear Elliptic Neumann Problem on Large Spherical Caps ⋮ Gelfand problem on a large spherical cap ⋮ Eigenvalues of the Laplace-Beltrami operator under the homogeneous Neumann condition on a large zonal domain in the unit sphere ⋮ Analytic imperfect bifurcation theorem and the Liouville-Gel’fand equation on a perturbed annular domain

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