Concepedia

How to recognize constant functions. Connections with Sobolev spaces

Haı̈m Brezis

Russian Mathematical Surveys · 2002 · 130 citations · 6 references

DOI

Concepts

Abstract

A criterion for a function to belong to or to is given. Various integral conditions under which a measurable function is constant are discussed.

References

6

Sobolev spaces and harmonic maps for metric space targets

Nicholas J. Korevaar · Communications in Analysis and Geometry · 1993 · 477 citations · Full text

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On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces

Vladimir Maz’ya, Tatyana Shaposhnikova · Journal of Functional Analysis · 2002 · 342 citations

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Large solutions for harmonic maps in two dimensions

Haïm Brézis, Jean Michel Coron · Communications in Mathematical Physics · 1983 · 127 citations

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On the structure of the Sobolev space H1/2 with values into the circle

Jean Bourgain, Haı̈m Brezis, Petru Mironescu · Comptes Rendus de l Académie des Sciences - Series I - Mathematics · 2000 · 44 citations

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Extensions for Sobolev mappings between manifolds

Fabrice Béthuel, F. Demengel · Calculus of Variations and Partial Differential Equations · 1995 · 40 citations

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