On a class of nonlinear eigenvalue problems
Karl P. Hadeler (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “On the monotonicity of nonnegative solutions and the uniqueness of eigenvalues”
On a class of nonlinear eigenvalue problems
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A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration
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In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.
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In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...
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