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Original Articles

On the first boundary value problem for the class of elliptic systems degenerating at an inner point

Pages 147-155 | Received 28 Nov 2000, Published online: 14 Oct 2010

References

  • Agmon , S. , Douglis , A. and Nirenberg , L. 1964 . Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II . Gomm. Pure Appl. Math. , 17 : 35 – 92 .
  • Lorenz , M. 1985 . An elliptic differential operator degenerating at one point, which is hypoelliptic but not localy solvable . Math. Nachr. , 120 : 237 – 247 .
  • Rutkauskas , S. 1986 . The modified Dirichlet problem for the nonregularly degenerating system of elliptic equations . Differentsial'nye Uravneniya , 5 (22) : 858 – 864 . (in Russian)
  • Rutkauskas , S. 1978 . Dirichlet Problems for systems of elliptic equations with high order of degeneracy . Lithuanian Math. J. , 1 (18) : 122 – 126 . (in Russian)
  • Rutkauskas , S. The Dirichlet type problem for the elliptic systems of equations degenerating at an inner point . Ann. Univ. Ferrara ‐Sez. VII ‐ Sc. Mat. , (accepted)
  • Solonnikov , V. 28 . On the boundary value problems for systems elliptic in the sence of A.Douglis . L. Nirenberg, I. Izv. Akad. Nauk SSSR, Ser. Mat. , 1964 : 665 – 706 .
  • Trudy Mat. Inst. Steklov , 92 233 – 297 . (English transl.)
  • Amer. Math. Soc. Transl. , 2 (56) 1992 – 232 .
  • 1966 . Proc. Steklov Inst. Math. , 92 : 269 – 333 .
  • Yanushauskas , A. 1978 . On the elliptic equations which coefficients under the lower derivatives have high order singularities . Sibirsk. Math. Zh. , 5 (17) : 1177 – 1187 . (in Russian)

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