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Integral representations of differentiable functions in domains with nonsmooth boundary

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Publication:1152519
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DOI10.1007/BF00968470zbMath0461.35017MaRDI QIDQ1152519

Yu. G. Reshetnyak

Publication date: 1981

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

integral representationsdifferentiable functionsdomains with nonsmooth boundary


Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15)


Related Items (10)

Widths of Sobolev weight classes on a domain with cusp ⋮ On Choquet integrals and Poincaré-Sobolev inequalities ⋮ Generalized John disks ⋮ Function spaces of Lizorkin-Triebel type on an irregular domain ⋮ An embedding into an Orlicz space for irregular John domains ⋮ Embeddings into Orlicz spaces for functions from unbounded irregular domains ⋮ Analogs of Korn's inequality on Heisenberg groups ⋮ A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities ⋮ Analogues of Korn's inequality on Heisenberg groups ⋮ Some sufficient conditions for embedding a weighted Sobolev class on a John domain



Cites Work

  • Rotation and strain
  • Unnamed Item


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