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Global branches of sign-changing solutions to a semilinear Dirichlet problem in a disk

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Publication:717691
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zbMath1254.35089MaRDI QIDQ717691

Yasuhito Miyamoto

Publication date: 5 October 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

variational methodsMorse indexBessel functionsnodal solutionsinfinitely many bifurcation points


Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Pattern formations in context of PDEs (35B36)


Related Items (3)

A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity ⋮ Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain ⋮ Unbounded sets of solutions of non-cooperative elliptic systems on spheres







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