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Limit cases in an elliptic problem with a parameter-dependent boundary condition

Limit cases in an elliptic problem with a parameter-dependent boundary condition

In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem � −Δpu + a(x)u p−1 = −u r in Ω, |∇u| p−2 ∂u = λu p−1 on ∂Ω