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A uniqueness result for infinite semipositone p-Laplacian problems in a ball

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS(2022)

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摘要
We prove the uniqueness of positive radial solutions to a class of singular p-Laplacian equations in a ball with Dirichlet boundary condition when a parameter is large. The reaction term exhibits infinite semipositone structure at zero and is not necessarily increasing or concave on (0, infinity).
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关键词
Uniqueness, infinite semipositone, p-Laplacian, positive solutions
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