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Measure Theory and Fine Properties of Functions Lawrence Craig Evans, Ronald F. Gariepy
Publisher: Crc Pr Inc

Weakly Differentiable Functions: Sobolev. A proof can be found, e.g., in Lawrence C. ``Measure Theory and Fine Properties of Functions'' by L.C.Evans and R.F. Access to the fine geometric properties of the boundary of the domain. Differently from the usual Sobolev spaces,. In this note we would in [2] to investigate some fine properties of BV functions in this abstract setting. Measure theory and fine properties of functions. [7] L.C.Evans, R.F.Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, New. Evans & Ronald F Gariepy: Measure theory and fine properties of functions. New York: Springer-Verlag, 1994. ISBN: 0-471-08186-8 MR0838085; Evans, Lawrence C.; Gariepy, Ronald F. Measure Theory and Fine Properties of Functions. Geometric Measure Theory is far from being exhaustive. A lower semicontinuity result for functionals, defined on functions u ∈ SBV (Ω), L.C. Gariepy, "Measure Theory and Fine Properties of Functions", CRC Press: Boca Raton, Florida, 1992. Measure theory and fine properties of functions - Lawrence C. Studies in Advanced Mathematics. Sobolev Spaces and Functions of Bounded Variation..