On a boundary problem with Neumann's condition for 3D singular elliptic equations

DOI10.1016/j.aml.2010.01.002zbMath1189.35068OpenAlexW2026905543MaRDI QIDQ968536

B. E. Eshmatov

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.01.002

zbMATH Keywords

Green's functionsboundary-value problemenergy integralssingular elliptic equationAppel's hypergeometric functionsNeumann's condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05) Green's functions for elliptic equations (35J08)

Related Items (11)

Relations between Lauricella’s triple hypergeometric function and the Srivastava function ⋮ CONFLUENT HYPERGEOMETRIC FUNCTIONS OF MANY VARIABLES AND THEIR APPLICATION TO THE FINDING OF FUNDAMENTAL SOLUTIONS OF THE GENERALIZED HELMHOLTZ EQUATION WITH SINGULAR COEFFICIENTS ⋮ ON AN ANALOGUE OF THE HOLMGREN'S PROBLEM FOR 3D SINGULAR ELLIPTIC EQUATION ⋮ Dirichlet problem for an elliptic equation with three singular coefficients ⋮ Generalized Holmgren problem for an elliptic equation with several singular coefficients ⋮ On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients ⋮ Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables ⋮ The Dirichlet problem for a 3D elliptic equation with two singular coefficients ⋮ The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain ⋮ The unique solvability of boundary value problems for a 3D elliptic equation with three singular coefficients ⋮ Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation

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