Uniqueness of positive solutions for m-Laplacian equations with polynomial non-linearity

Wei Ke

We consider the uniqueness of the following positive solutions of $m$-Laplacian equation: \begin{equation} \left\{ \begin{aligned} -Δ_m u&=λu^{m-1}+u^{p-1} \quad \text{in} \quad Ω\…