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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Jan Bochenek (1971)
Annales Polonici Mathematici
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Ivo Marek (1964)
Matematicko-fyzikálny časopis
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M. Klaus (1981)
Annales de l'I.H.P. Physique théorique
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Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)
RACSAM
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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 inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case. ...
Jan Bochenek (1971)
Annales Polonici Mathematici
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Evans M. Harrell, M. Klaus (1983)
Annales de l'I.H.P. Physique théorique
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O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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