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Original Articles

On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries

Pages 877-892 | Accepted 15 Apr 2005, Published online: 30 Aug 2006

References

References

  • Ahern , P , Bruna , J and Cascante , C . 1996 . Hp -Theory of generalized M-harmonic functions in the unit ball . Indiana University Mathematics Journal , 45 : 103 – 135 .
  • Bitsadze A 1989 Some Classes of Partial Differential Equations, Nauka Moscow (Russian); English translation (Singapore: World Scientific)
  • Dzhuraev A 1999 Singular Partial Differential Equations Boca Raton Chapman & Hall/CRC
  • Dzhuraev , A . 2002 . On elliptic systems in the unit ball of , including those degenerate on the boundary . Complex Variables, Theory and Applications , 47 : 1055 – 1083 .
  • Gilbarg D Trudinger N 1983 Elliptic Partial Differential Equations of Second Order Berlin Springer-Verlag
  • Keldysh M 1951 On some cases of degeneracy of elliptic equations on the boundary of the domain Doklady Academii Nauk SSSR 77 181 183 (Russian)
  • Perron , O . 1923 . Eine neue Behandlung der Randwertaufgabe für Δu = 0 . Mathematische Zeitschrift , 18 : 42 – 54 .

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