Local bifurcation from the second eigenvalue of the Laplacian in a square

DOI10.1090/S0002-9939-03-06906-5zbMath1113.35022OpenAlexW1670660685MaRDI QIDQ4417251

Monica Musso, Jorge García-Melián, Manuel A. del Pino

Publication date: 28 July 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06906-5

zbMATH Keywords

local bifurcationdouble eigenvaluemultiple branches

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (6)

On the multi-dimensional advective Lotka-Volterra competition systems ⋮ A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity ⋮ Local bifurcation-branching analysis of global and ``blow-up patterns for a fourth-order thin film equation ⋮ A generalized complex Ginzburg-Landau equation: global existence and stability results ⋮ Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain ⋮ An inequality of Bessel functions and applications to transcritical bifurcation problems of nonlinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcation from simple eigenvalues
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• A bifurcation theorem for potential operators

This page was built for publication: Local bifurcation from the second eigenvalue of the Laplacian in a square