A density result in Sobolev spaces

Jérôme Droniou

doi:10.1016/S0021-7824(01)01241-7

A density result in Sobolev spaces

Jérôme Droniou

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

Abstract

We prove, for 1 ≤ p < ∞ and Ω a polygonal or regular open subset of ℝ^N, the density in W^1,p(Ω) of a set of regular functions satisfying a homogeneous Neumann condition on the boundary of Ω. We also give applications of this result and a generalization to mixed Dirichlet-Neumann boundary conditions.

Original language	English
Pages (from-to)	697-714
Number of pages	18
Journal	Journal des Mathematiques Pures et Appliquees
Volume	81
Issue number	7
DOIs	https://doi.org/10.1016/S0021-7824(01)01241-7
Publication status	Published - 12 Aug 2002
Externally published	Yes

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10.1016/S0021-7824(01)01241-7

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title = "A density result in Sobolev spaces",

abstract = "We prove, for 1 ≤ p < ∞ and Ω a polygonal or regular open subset of ℝN, the density in W1,p(Ω) of a set of regular functions satisfying a homogeneous Neumann condition on the boundary of Ω. We also give applications of this result and a generalization to mixed Dirichlet-Neumann boundary conditions.",

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AB - We prove, for 1 ≤ p < ∞ and Ω a polygonal or regular open subset of ℝN, the density in W1,p(Ω) of a set of regular functions satisfying a homogeneous Neumann condition on the boundary of Ω. We also give applications of this result and a generalization to mixed Dirichlet-Neumann boundary conditions.

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JO - Journal des Mathematiques Pures et Appliquees

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A density result in Sobolev spaces

Abstract

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