A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic p-Laplacian equations

Zakariya Chaouai, Mohamed Tamaazousti

We consider the following problem $ -Δ_{p}u= h(x,u) \mbox{ in }Ω$, $u\in W_0^{1,p}(\Omega )$, where $\Omega$ is a bounded domain in ${\mathbb{R}}^N$, $1<p<N$, with a smooth boundary. In thi…