Branching points for a class of variational operators

DOI10.1007/BF02786940zbMath0931.47051OpenAlexW2042329336MaRDI QIDQ1283064

Antonio Ambrosetti

Publication date: 16 February 2000

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786940

zbMATH Keywords

bifurcationbranches of nontrivial solutionslinear symmetric Fredholm operatorvariational operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) (Semi-) Fredholm operators; index theories (47A53) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

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Cites Work

• La teoria de Morse per gli spazi di Hilbert
• Some global results for nonlinear eigenvalue problems
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• A bifurcation theorem for critical points of variational problems
• A bifurcation theorem for potential operators
• A bifurcation theorem for potential operators
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