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
Nonlinear eigenvalue problems with the parameter near resonance
Jean Mawhin, Klaus Schmitt (1990)
Annales Polonici Mathematici
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A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration
Heinrich Voss (2003)
Applications of Mathematics
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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.
A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
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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...
On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order
Jan Bochenek (1971)
Annales Polonici Mathematici
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On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
Ivo Marek (1964)
Matematicko-fyzikálny časopis
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Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
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