Abstract
A method for calculating lower bounds for certain functionals is demonstrated by estimating the first critical value of a special nonlinear operator. The exact solutions of the associated eigenvalue problem are calculated.
Zusammenfassung
Es werden Schranken für den ersten kritischen Wert eines speziellen nichtlinearen Operators berechnet. Dabei wird eine Methode angewendet, mit der sich untere Schranken zu bestimmten Funktionalen berechnen lassen. Zu dem zugehörigen Eigenwertproblem werden die exakten Lösungen bestimmt.
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Seydel, R. Bounds for the lowest critical value of the nonlinear operator-u″+u 3 . Journal of Applied Mathematics and Physics (ZAMP) 26, 713–720 (1975). https://doi.org/10.1007/BF01596075
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DOI: https://doi.org/10.1007/BF01596075