Generalized Holmgren problem for an elliptic equation with several singular coefficients

DOI10.1134/S0012266120070046zbMath1464.35132arXiv1910.05264OpenAlexW3047864194MaRDI QIDQ2196173

Yanyan Li

Publication date: 28 August 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05264

zbMATH Keywords

existence of a unique solutionelliptic equation with singular coefficientsgeneralized Holmgren problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75)

Related Items (5)

Exact solutions of the thin beam with degrading hysteresis behavior ⋮ The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain ⋮ A problem with mixed boundary conditions for a singular elliptic equation in an infinite domain ⋮ The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain ⋮ Потенциалы для трехмерного эллиптического уравнения с одним сингулярным коэффициентом и их применение

Cites Work

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• Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations
• The Dirichlet problem for a 3D elliptic equation with two singular coefficients
• Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
• On a boundary problem with Neumann's condition for 3D singular elliptic equations
• Exterior Dirichlet and Neumann problems in generalized biaxially symmetric potential theory
• Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• ON AN ANALOGUE OF THE HOLMGREN'S PROBLEM FOR 3D SINGULAR ELLIPTIC EQUATION
• Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• Fundamental Solutions for a Class of Multidimensional Elliptic Equations with Several Singular Coefficients

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