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Fine topology and quasilinear elliptic equations. (English) Zbl 0659.35038

It is shown that the (1,p)-fine topology defined via a Wiener criterion is the coarsest topology making all supersolutions to the p-Laplace equation \(div(| \nabla u|^{p-2} \nabla u)=0\) continuous. Fine limits of quasiregular and BLD mappings are also studied.
Reviewer: J.Heinonen

MSC:

35J60 Nonlinear elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
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References:

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