The Neumann and Dirichlet problems for one four-dimensional degenerate elliptic equation

DOI10.1134/S1995080220060062zbMath1454.35180OpenAlexW3043200166MaRDI QIDQ2206706

A. R. Ryskan, Abdumauvlen S. Berdyshev

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220060062

zbMATH Keywords

Dirichlet problemNeumann problemdegenerate elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Related Items (3)

The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain ⋮ Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball ⋮ Holmgren's problem for the Laplace equation in the hyperoctant of a multidimensional ball

Cites Work

• Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Fundamental solutions for the Tricomi operator. II
• Fundamental solutions for the Tricomi operator
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• Fundamental solutions of the Tricomi operator. III
• Fundamental solutions for a class of four-dimensional degenerate elliptic equation
• Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II
• A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation
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