A New Variational Characterization of Sobolev Spaces

Author:

Barza Sorina,Lind Martin

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference13 articles.

1. Bojarski, B.: On the Bourgain-Brezis-Mironescu approach to Sobolev spaces. Bull. Acad. Pol. Sci. Math. 59(1), 65–75 (2011)

2. Bourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Menaldi, J.L., et al. (eds.) Optimal Control and Partial Differential Equations, pp. 439–455. IOS Press, Amsterdam (2001)

3. Bourgain, J., Brezis, H., Mironescu, P.: Limiting embedding theorems for $$W^{s, p}$$ W s , p when $$s\rightarrow 1$$ s → 1 and applications. J. Anal. Math. 87, 77–101 (2002)

4. Bourgain, J., Nguyen, H.-M.: A new characterization of Sobolev spaces. C.R. Acad. Sci. Paris. ser I 343, 75–80 (2006)

5. Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, New York (2011)

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