This research demonstrates the existence and multiplicity of positive solutions in an elliptic system, suggesting significant mathematical insights.
In this paper, we study the existence, nonexistence and multiplicity of positive solutions for a non-variational elliptic system involving singular nonlinearities and two parameters. First, we introduce a system equivalent to the original system, and then we employ the Leray–Schauder topological degree, the sub-supersolution method and the Blow Up method to prove our main result.
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Ricardo Lima Alves (2026) studied this question.
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