Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
69
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

The solvability of Dirichlet problem for a class of degenerate elliptic equations with L1-data

Pages 941-961 | Received 30 Sep 2004, Accepted 27 Mar 2006, Published online: 04 Sep 2006

References

  • Bélinan , P , Boccardo , L , Gallouët , T , Gariepy , R , Pierre , M and Vasquez , JL . 1995 . An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations . Annali della Scuola Normale Superiore di Pisa , 4, 22 ( 2 ) : 241 – 273 .
  • Cavalheiro , AC . 2002 . An approximation theorem for solutions of degenerate elliptic equations. . Proceedings of the Edinburgh Mathematical Society , 45 : 363 – 389 .
  • Chiadò , Piat, V and Serra Cassano , F . 1994 . Relaxation of degenerate variational integrals. . Nonlinear Analysis , 22 : 409 – 429 .
  • Folland , GB . 1984 . Real Analysis , New York : Wiley-interscience .
  • Fabes , EB , Kenig , CE and Serapioni , RP . 1982 . The local regularity of solutions of degenerate elliptic equations. . Communications in P.D.E. , 7 ( 1 ) : 77 – 116 .
  • Franchi , B and Serapioni , RP . 1987 . Pointwise estimates for a class of strongly degenerate elliptic operators: a geometrical approach. . Annali della Scuola Normale Superiore di Pisa , 14 : 527 – 568 .
  • Garcia-Cuerva , J and Rubio de Francia , JL . 1985 . Weighted Norm Inequalities and Related Topics , Vol. 116 , Elsevier : North-Holland Mathematics Studies .
  • Heinonen , J , Kilpeläinen , T and Martio , O . 1993 . Nonlinear Potencial Theory of Degenerate Elliptic Equations , Oxford : Oxford Math. Monographs (Clarendon Press) .
  • Kufner , A , John , O and Fu[cbreve]ík , S . 1977 . Function Spaces , Leyden : Noordhoff International Publishing .
  • Muckenhoupt , B . 1972 . Weighted norm inequalities for the Hardy maximal function. . Transactions of the American Mathematical Society , 165 : 207 – 226 .
  • Torchinsky , A . 1986 . Real-Variable Methods in Harmonic Analysis , San Diego : Academic Press .
  • Turesson , BO . 2000 . “ Nonlinear Potential Theory and Weighted Sobolev Spaces ” . In Lectures notes in Mathematics , Vol. 1736 , Berlin : Springer-Verlag .
  • Zeidler , E . 1990 . Nonlinear Functional Analysis and its Applications , Vol. II/B , Berlin : Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.