Abstract
In this paper, we deal with the following sublinear elliptic system:
where 0 < p < 1 and 0 < q < 1. Under suitable assumptions on the terms a, b, f and g and by using the Schauder fixed point theorem, we obtain a solution for an approximated system. The limit of the approximated solutions is a nonnegative solution.
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Benrhouma, M. Existence of solutions of sublinear elliptic systems with quadratic growth in the gradient. Nonlinear Differ. Equ. Appl. 21, 737–749 (2014). https://doi.org/10.1007/s00030-014-0264-3
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DOI: https://doi.org/10.1007/s00030-014-0264-3