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

Annales Polonici Mathematici (1991)

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

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topH. 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>.

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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

top- [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] 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] O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, 2nd ed,, Springer, Berlin 1973. Zbl0267.30016
- [4] G. N. Polozhii, A generalization of Cauchy's integral formula, Mat. Sb. (N.S.) 24 (66) (1949), 375-384 (in Russian).
- [5] H. Renelt, Elliptic Systems, and Quasiconformal Mappings, Wiley, 1988.
- [6] H. Renelt, Generalized powers in the theory of (ν, μ)-solutions, Ann. Univ. Mariae Curie-Sklodowska Sect. A 40 (1986), 217-235.
- [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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