On biharmonic equations with $p$-Laplacian and indefinite potentials or critical nonlinearity

Shibo Liu, Kanishka Perera

In this paper we consider nonlinear biharmonic equations with $p$-Laplacian ($p\ge 2$) of the form $$ \left\{ \begin{array}{l} Δ^2 u - Δ_p u + V (x) u = f (x, u) \text{,} u \in H^2…