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On the regularity of solutions to variational and boundary-value problems in domains with Hölder boundary

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Publication:325535
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DOI10.1134/S0001434616050175zbMath1350.49053MaRDI QIDQ325535

I. V. Tsylin

Publication date: 18 October 2016

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


zbMATH Keywords

atlasdiffeomorphismregularityBesov spacevariational problemRiemannian manifoldboundary-value problemfiber bundlechartFriedrichs constructionGâteaux derivativeHölder boundaryNikol'skii space


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60)


Related Items (1)

The Nikol'skii type regularity of solutions to nonlinear problems in domains with Hölder boundary



Cites Work

  • On the dual of Besov spaces
  • Regularity results for elliptic equations in Lipschitz domains
  • Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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