6533b7d4fe1ef96bd1261ce8
RESEARCH PRODUCT
Ober Ein Rayleigh-Ritz-Verfahren zur Bestimmung Kritischer Werte
Achim Bongerssubject
Nonlinear systemBifurcation theoryContinuous spectrumMathematical analysisMultiplicity (mathematics)Eigenvalues and eigenvectorsMathematicsdescription
This paper is concerned with the existence of critical points for a functional f defined on the level set of a second functional g. Existence of nontrivial solutions for the nonlinear eigenvalue-problem f′(u) = λg′(u) and convergence for a nonlinear analogue to the Rayleigh-Ritz-Method is proven. The results are applied to a nonlinear ordinary eigenvalue problem where it is shown that the lowest point in the continuous spectrum of the associated linearized operator is a bifurcation point of infinite multiplicity.
year | journal | country | edition | language |
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1980-01-01 |