A uniqueness result for infinite semipositone \(p\)-Laplacian problems in a ball. (English) Zbl 1506.34041
Uniqueness of positive radial solutions of singular \(p\)-Laplacian equations in a ball subject to the Dirichlet boundary condition is obtained when the parameter involved is large. The reaction terms which are not necessarily increasing or concave on \((0,\infty)\) exhibit infinite semipositone structures at zero.
Reviewer: Kunquan Lan (Toronto)
MSC:
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
| 35J62 | Quasilinear elliptic equations |
| 34B08 | Parameter dependent boundary value problems for ordinary differential equations |
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