2012 **Abstract:** The present work devoted to the finding explicit solution of a boundary problem with the Dirichlet-Neumann condition for elliptic equation with singular coefficients in a quarter of ball. For this aim the method of Green's function have been used. Since, found Green's function contains a hypergeometric function of Appell, we had to deal with decomposition formulas, formulas of differentiation and some adjacent relations for this hypergeometric function in order to get explicit solution of the formulated proble…

Help me understand this report

View preprint versions

Search citation statements

Paper Sections

Select...

3

Citation Types

0

3

0

Year Published

2018

2019

Publication Types

Select...

2

1

Relationship

0

3

Authors

Journals

(9 citation statements)

(9 reference statements)

0

3

0

“…were constructed, respectively, in [14], [10] and [6], where α, β, γ and λ are real numbers. For equations (2) and (3), the Dirichlet, Neumann and Holmgren problems were solved in some parts of the ball [13,18,24].…”

confidence: 99%

“…were constructed, respectively, in [14], [10] and [6], where α, β, γ and λ are real numbers. For equations (2) and (3), the Dirichlet, Neumann and Holmgren problems were solved in some parts of the ball [13,18,24].…”

confidence: 99%

“…were constructed, respectively, in [24] and [15]. For equations (1.1) and (1.2), the Dirichlet, Neumann and Holmgren problems [19,31,25] were solved in some parts of the ball.…”

confidence: 99%

“…x u x + 2β y u y + 2γ z u z = 0, 0 < 2α, 2β, 2γ < 1 (2) were constructed, respectively, in [21] and [16]. For equations (1) and (2), the Dirichlet, Neumann and Holmgren problems [20,26,32] were solved in some parts of the ball.…”

confidence: 99%