Article
MSC:
46E35
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Keywords:
Lipschitz function; Poicaré inequality; upper gradient; Sobolev space
Lipschitz function; Poicaré inequality; upper gradient; Sobolev space
Summary:
We describe an approach to establish a theory of metric Sobolev spaces based on Lipschitz functions and their pointwise Lipschitz constants and the Poincaré inequality.
References:
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