ABSTRACT
Let D be a domain in https://www.w3.org/1998/Math/MathML"> R ∗ n , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math6_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> https://www.w3.org/1998/Math/MathML"> n ≥ 2 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math6_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> with sufficiently multiplicative smooth boundary https://www.w3.org/1998/Math/MathML"> ∂ ∗ D . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math6_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> Consider the multiplicative Laplace 1 equation, shortly Laplace equation, https://www.w3.org/1998/Math/MathML"> Δ ∗ u = ∑ ∗ i = 1 n u x i x i ∗ ∗ = 1 , x = ( x 1 , x 2 , … , x n ) ∈ D . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math6_4.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
