Positive solutions of quasilinear elliptic equations with Fuchsian potentials in Wolff class
Using Harnack's inequality and a scaling argument we study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $\zeta \in \partial\Omega\cup\{\infty\}$ for the quasilinear elliptic equation $$-\text{div}(|\nabla u|_A^{p-2}A\nabla u)+V|u|^{p...
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Sprache: | eng |
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Zusammenfassung: | Using Harnack's inequality and a scaling argument we study Liouville-type
theorems and the asymptotic behaviour of positive solutions near an isolated
singular point $\zeta \in \partial\Omega\cup\{\infty\}$ for the quasilinear
elliptic equation $$-\text{div}(|\nabla u|_A^{p-2}A\nabla u)+V|u|^{p-2}u
=0\quad\text{ in } \Omega,$$ where $\Omega$ is a domain in $\mathbb{R}^d$,
$d\geq 2$, $1 |
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DOI: | 10.48550/arxiv.2204.08061 |