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- W823072258 abstract "Let Ω be a subset of ℝn, and let S be the set of bounded superharmonic functions on Ω. If f is denned and bounded in Ω outside a polar set, then there is a best approximation g0 to f from S that differs from the least superharmonic majorant of f by a constant. Least superharmonic majorants are fundamental in Potential Theory, where they are called reduites, and they occur in the the theory of elliptic PDEs as solutions of variational inequalities related to the obstacle problem. By applying results from these two areas one may give sufficient conditions on f and Ω which guarantee that g0 has certain continuity or smoothness properties." @default.
- W823072258 created "2016-06-24" @default.
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- W823072258 date "1990-01-01" @default.
- W823072258 modified "2023-09-27" @default.
- W823072258 title "The Obstacle Problem and Best Superharmonic Approximation" @default.
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- W823072258 doi "https://doi.org/10.1007/978-3-0348-5685-0_24" @default.
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