Abstract
We construct singular solutions to equations
similar to thep-Laplacian, that tend to ∞ on a given closed set ofp-capacity zero. Moreover, we show that everyG δ-set of vanishingp-capacity is the infinity set of someA-superharmonic function.
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The research is financed by the Academy of Finland (Project #8597).
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Kilpeläinen, T. Singular solutions top-Laplacian type equations. Ark. Mat. 37, 275–289 (1999). https://doi.org/10.1007/BF02412215
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DOI: https://doi.org/10.1007/BF02412215