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- W1980020791 abstract "In this paper conditions are given for the spectrum in an eigenvalue problem of the form to be discrete, where and are operators that are odd-homogeneous of degree (), acting from a reflexive Banach space into the dual. It is proved that the eigenvalues vary monotonically as and vary in the normed linear space of homogeneous operators of degree . Explicit formulas for the eigenvalues and functions are obtained for the case where and are the gradients of the norms in the spaces and ( is a parallelepiped in ). Using these formulas the author obtains estimates for the eigenvalues in homogeneous and asymptotically homogeneous problems with variable coefficients in the space , where is an arbitrary bounded domain in .Bibliography: 12 titles." @default.
- W1980020791 created "2016-06-24" @default.
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- W1980020791 date "1984-02-28" @default.
- W1980020791 modified "2023-09-26" @default.
- W1980020791 title "STRUCTURE OF THE SPECTRUM AND ESTIMATES FOR THE EIGENVALUES OF NONLINEAR HOMOGENEOUS OPERATORS" @default.
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- W1980020791 doi "https://doi.org/10.1070/sm1984v048n02abeh002679" @default.
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