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On the regularity of solutions of second-order elliptic partial differential equations with an unbounded Dirichlet integral

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Publication:775890
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DOI10.1007/BF00253340zbMath0107.30503MaRDI QIDQ775890

Jindřich Nečas

Publication date: 1962

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemregularity near the boundary


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25)


Related Items

Sur une classe d'opérateurs elliptiques dégénérés, Note on the Dirichlet problem with \(L^ 2-\)boundary data, On second order partial differential equations of elliptic type, Dirichlet problem for a linear elliptic equation in unbounded domains with \(L^ 2\)-boundary data, Unnamed Item, On the boundary values of the solutions of linear elliptic equations



Cites Work

  • Proprietà di alcune classi di funzioni in più variabili
  • Les espaces du type de Beppo Levi
  • Remarks on strongly elliptic partial differential equations
  • On the solutions of second order elliptic partial differential equations with unbounded Dirichlet integral
  • Nuovo tipo di condizione al contorno e nuovo metodo di trattazione per il problema generalizzato di dirichlet
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