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• W2470216097 abstract "We study nonlinear potential theory related to quasiminimizers on a metric measure space equipped with a doubling measure and supporting a Poincare inequality. Our objective is to show that quasiminimizers create an interesting potential theory with new features although from the potential theoretic point of view they have several drawbacks: They do not provide a unique solution to the Dirichlet problem, they do not obey the comparison principle and they do not form a sheaf. However, many potential theoretic concepts such as harmonic functions, superharmonic functions and the Poisson modification have their counterparts in the theory of quasiminimizers and, in particular, we are interested in questions related to regularity, convergence and polar sets." @default.
• W2470216097 created "2016-07-22" @default.
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• W2470216097 date "2003-01-01" @default.
• W2470216097 modified "2023-09-25" @default.
• W2470216097 title "Potential theory of quasiminimizers" @default.
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