Abstract
We construct singular solutions to equations $div\mathcal{A}(x,\nabla u) = 0,$ similar to the p-Laplacian, that tend to ∞ on a given closed set of p-capacity zero. Moreover, we show that every Gδ-set of vanishing p-capacity is the infinity set of some A-superharmonic function.
Funding Statement
The research is financed by the Academy of Finland (Project #8597).
Citation
Tero Kilpeläinen. "Singular solutions to p-Laplacian type equations." Ark. Mat. 37 (2) 275 - 289, October 1999. https://doi.org/10.1007/BF02412215
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