Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators |
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Authors: | Patricio Felmer Darío Valdebenito |
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Institution: | 1. Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático UMR2071 CNRS-UChile, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile;2. Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile |
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Abstract: | In this paper we present a one dimensional and radial theory for the existence of eigenvalues and eigenfunctions for fully nonlinear elliptic (α+1)-homogeneous operators, α>−1. A general theory for the first eigenvalue and eigenfunction exists in the frame of viscosity solutions, but in this particular case a simpler theory can be established, that extends, via degree theory, to obtain the complete set of eigenvalues and eigenfunctions characterized by the number of zeros. |
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Keywords: | primary 35J25 35J60 secondary 35P15 35P30 |
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