An inverse iteration method for obtaining q-eigenpairs of the p-Laplacian in a general bounded domain
Grey Ercole · arXiv (Cornell University) · 2015
Let $Ω$ be a bounded and smooth domain of $\mathbb{R}^{N}$, $N\geq2$, and consider the eigenvalue problem: $-Δ_{p}u=λ\left| u\right| _{L^{q}(Ω)}^{p-q}\left| u\right| ^{q-2}u$ in $Ω,$ $u=0$ on $\partialΩ,$ where $p>1$, $1\leq q