On positive solutions of p-Laplacian-type equations

Yehuda Pinchover, Kyril Tintarev

Let $\Omega$ be a domain in ${\mathbb{R}}^d$, $d\ge 2$, and $1<p<\infty$. Fix $V\in L_{\mathrm{loc}}^{\infty }(\Omega )$. Consider the functional $Q$ and its Gâteaux derivative $Q^{\prime }$ given b…