An integral formula for the derivatives of solutions of certain elliptic systems

H. Renelt

Annales Polonici Mathematici (1991)

  • Volume: 54, Issue: 1, page 45-57
  • ISSN: 0066-2216

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H. Renelt. "An integral formula for the derivatives of solutions of certain elliptic systems." Annales Polonici Mathematici 54.1 (1991): 45-57. <http://eudml.org/doc/266980>.

@article{H1991,
abstract = {},
author = {H. Renelt},
journal = {Annales Polonici Mathematici},
keywords = {Cauchy integral formula},
language = {eng},
number = {1},
pages = {45-57},
title = {An integral formula for the derivatives of solutions of certain elliptic systems},
url = {http://eudml.org/doc/266980},
volume = {54},
year = {1991},
}

TY - JOUR
AU - H. Renelt
TI - An integral formula for the derivatives of solutions of certain elliptic systems
JO - Annales Polonici Mathematici
PY - 1991
VL - 54
IS - 1
SP - 45
EP - 57
AB -
LA - eng
KW - Cauchy integral formula
UR - http://eudml.org/doc/266980
ER -

References

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  1. [1] L. Bers, Partial differential equations and generalized analytic functions, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 130-136; Second note, ibid. 37 (1951), 42-47. Zbl0036.05301
  2. [2] B. Bojarski, Generalized solutions of a system of differential equations of first order and elliptic type with discontinuous coefficients. Mat. Sb. (N.S.) 43 (85) (1957), 451 503 (in Russian). 
  3. [3] O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, 2nd ed,, Springer, Berlin 1973. Zbl0267.30016
  4. [4] G. N. Polozhii, A generalization of Cauchy's integral formula, Mat. Sb. (N.S.) 24 (66) (1949), 375-384 (in Russian). 
  5. [5] H. Renelt, Elliptic Systems, and Quasiconformal Mappings, Wiley, 1988. 
  6. [6] H. Renelt, Generalized powers in the theory of (ν, μ)-solutions, Ann. Univ. Mariae Curie-Sklodowska Sect. A 40 (1986), 217-235. 
  7. [7] B. V. Shabat, Cauchy's theorem and formula for quasiconformal mappings of linear classes, Dokl. Akad, Nauk SSSR (N.S.) 69 (1949), 305-308 (in Russian). 

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