Skip to main content
Log in

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

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Nirenberg, L.: Remarks on Strongly Elliptic Differential Equations. Communications on Pure and Applied Mathematics 8, 649–675 (1955).

    Google Scholar 

  2. Gagliardo, E.: Proprietà di alcune classi di funzioni in più variabili. Ricerche di matematica 7, fasc. 1, 102–137 (1958).

    Google Scholar 

  3. Nečas, J.: Sur les solutions des équations elliptiques aux dérivées partielles du second ordre avec intégrale de Dirichlet non-borné. Czechoslovak Mathematical Journal 10, 283–298 (1960).

    Google Scholar 

  4. Cimmino, G.: Nuovo tipo di condizione al contorno e nuovo metodo di trattazione per il problema generalizzato di Dirichlet. Rendiconti del circolo matematico di Palermo 61, XVI (1937).

    Google Scholar 

  5. Iljin, V. P.: Někotoryje intěgralnyje něravenstva dlja diferencirujemych funkcij mnogich pěremennych. DAN SSSR 6, 1214–1217 (1958).

    Google Scholar 

  6. Deny, J., & J. L. Lions: Les espaces du type de Beppo Levi. Annales de l'Institut Fourier 5, 305–370 (1953–1954).

    Google Scholar 

  7. Hardy, G. H., J. E. Littlewood & G. Pólya: Inequalities, 1934.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R. Finn

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nečas, J. On the regularity of solutions of second-order elliptic partial differential equations with an unbounded Dirichlet integral. Arch. Rational Mech. Anal. 9, 134–144 (1962). https://doi.org/10.1007/BF00253340

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00253340

Keywords

Navigation