ABSTRACT
In this chapter we try to achieve for higher dimensions work analogous to that in the previous chapter. We are not going to consider previous problems for general systems, because we cannot do this. We restrict ourselves to special model systems, which are high-dimensional analogues of the inhomogeneous Cauchy-Riemann (C.R.) equation, https://www.w3.org/1998/Math/MathML">wz¯=f(z),https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003062233/9da0ee55-ab85-4900-bd1b-460e01b2ece9/content/eqn2_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> the inhomogeneous Laplace (L) equation https://www.w3.org/1998/Math/MathML">wzz¯=f(z).https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003062233/9da0ee55-ab85-4900-bd1b-460e01b2ece9/content/eqn2_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and the inhomogeneous Bitsadze equation https://www.w3.org/1998/Math/MathML">wz¯2=f(z).https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003062233/9da0ee55-ab85-4900-bd1b-460e01b2ece9/content/eqn2_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> We consider also some overdetermined elliptic systems.
