Gradient estimates for $p$-Laplacian equation with cubic polynomial nonlinearity on Riemannian manifolds

Zhen Qiu, Youde Wang, Jun Yang

This paper studies a class of $p$-Laplace equations with cubic polynomial nonlinearity \[ Δ_p v + (v-a_1)(v-a_2)(v-a_3) = 0 \] on complete Riemannian manifolds $M$ with lower Ricc…