A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory
Milan Kučera (1979)
Časopis pro pěstování matematiky
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Displaying similar documents to “A new method for obtaining eigenvalues of variational inequalities. Branches of eigenvalues of the equation with the penalty in a special case”
A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory
A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues
Milan Kučera (1982)
Czechoslovak Mathematical Journal
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Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.