Does bifurcation from the essential spectrum occur?

DOI10.1080/03605308108820176zbMath0471.35007OpenAlexW1495413118MaRDI QIDQ3924561

Vieri Benci, Donato Fortunato

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308108820176

zbMATH Keywords

bifurcationessential spectrumgrowth conditionlinearized operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Bifurcations in context of PDEs (35B32)

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Cites Work

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• Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
• Eigenvalue bifurcation for odd gradient operators
• Existence of solitary waves in higher dimensions
• Bifurcation for non-differentiable operators with an application to elasticity
• Bifurcation for odd potential operators and an alternative topological index
• The lowest point of the continuous spectrum as a bifurcation point
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• Some nonlinear elliptic problems with asymptotic conditions
• A bifurcation theorem for potential operators

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