Positive Solutions of Quasilinear Elliptic Equations with Fuchsian Potentials in Wolff Class

arxiv（2023）

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摘要

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 ζ∈∂Ω∪{∞} for the quasilinear elliptic equation -div(|∇ u|_A^p-2A∇ u)+V|u|^p-2u =0 in Ω , where Ω is a domain in ℝ^d , d≥ 2 , 1更多

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关键词

Fuchsian singularity,Morrey spaces,Kato class,Wolff class,Liouville theorem,Quasilinear elliptic equation,(p, A)-Laplacian

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