Abstract
This paper deals with the existence of positive solutions for the nonlinear system
. This system often arises in the study of positive radial solutions of nonlinear elliptic system. Here u = (u 1, …, u n) and f i, i = 1, 2, …, n are continuous and nonnegative functions, p(t), q(t): [0, 1] → (0, ∞) are continuous functions. Moreover, we characterize the eigenvalue intervals for
. The proof is based on a well-known fixed point theorem in cones.
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Chu, J., O’regan, D. & Zhang, M. Positive solutions and eigenvalue intervals for nonlinear systems. Proc Math Sci 117, 85–95 (2007). https://doi.org/10.1007/s12044-007-0007-z
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DOI: https://doi.org/10.1007/s12044-007-0007-z