On positive solutions of p-Laplacian-type equations
| dc.creator | Pinchover, Yehuda | |
| dc.creator | Tintarev, Kyril | |
| dc.date | 2009-01-07 | |
| dc.date.accessioned | 2026-07-07T12:27:10Z | |
| dc.date.available | 2026-07-07T12:27:10Z | |
| dc.description | Let $Ω$ be a domain in $\mathbb{R}^d$, $d\geq 2$, and $1<p<\infty$. Fix $V\in L_{\mathrm{loc}}^\infty(Ω)$. Consider the functional $Q$ and its Gâteaux derivative $Q^\prime$ given by $$Q(u):= \frac{1}{p}\int_Ω. (|\nabla u|^p+V|u|^p) \dx, Q^\prime (u):= -\nabla\cdot(|\nabla u|^{p-2}\nabla u)+V|u|^{p-2} u.$$ In this paper we discuss a few aspects of relations between functional-analytic properties of the functional $Q$ and properties of positive solutions of the equation $Q^\prime (u)=0$. | |
| dc.identifier | https://arxiv.org/abs/0901.0847 | |
| dc.identifier | http://arxiv.org/abs/0901.0847 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215119 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 35J20, 35J70, 49R50 | |
| dc.title | On positive solutions of p-Laplacian-type equations | |
| dc.type | text |