Holmgren's problem for the Laplace equation in the hyperoctant of a multidimensional ball

DOI10.1134/S1995080222090062zbMath1501.35139OpenAlexW4312679862MaRDI QIDQ2095807

Yanyan Li

Publication date: 15 November 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222090062

zbMATH Keywords

existenceuniquenessLaplace equationNeumann conditionDirichlet condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball

Cites Work

• On solvability of a Poincaré-Tricomi type problem for an elliptic-hyperbolic equation of the second kind
• The Neumann and Dirichlet problems for one four-dimensional degenerate elliptic equation
• Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables
• Dirichlet problem for mixed type equation with characteristic degeneration and singular coefficient
• Solution of boundary value problems for the Laplace equation in a ball bounded by a multilayer film
• Representation of solution of the Dirichlet problem for the Laplace equation in the form of a generalized convolution
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