Abstract
In this paper, we prove the existence of a generalized eigenvalue and a corresponding eigenfunction for fully nonlinear elliptic operators singular or degenerate, homogeneous of degree 1+α, α > −1 in unbounded domains of IRN. The main tool will be Harnack’s inequality.
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Birindelli, I., Demengel, F. Eigenfunctions for singular fully nonlinear equations in unbounded domains. Nonlinear Differ. Equ. Appl. 17, 697–714 (2010). https://doi.org/10.1007/s00030-010-0077-y
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DOI: https://doi.org/10.1007/s00030-010-0077-y