On the weak solvability of a nonlocal boundary value problem for the Laplace equation in an unbounded domain

DOI10.1134/s1995080223070302zbMath1526.35125OpenAlexW4388000693MaRDI QIDQ6059305

Natavan Nasibova, A. R. Safarova

Publication date: 2 November 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223070302

zbMATH Keywords

Laplace equationexistence of a weak solutionunbounded plane domain

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)

Cites Work

• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• Solvability of a boundary value problem for a differential equation of the Boussinesq type
• Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces
• Spectral features of the solving of a Fredholm homogeneous integro-differential equation with integral conditions and reflecting deviation
• Nonlinear optimal control of thermal processes in a nonlinear inverse problem
• On local solvability of higher order elliptic equations in rearrangement invariant spaces
• On solvability in the small of higher order elliptic equations in grand-Sobolev spaces
• Interior Schauder-Type Estimates for Higher-Order Elliptic Operators in Grand-Sobolev Spaces
• Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces
• Survey on gradient estimates for nonlinear elliptic equations in various function spaces
• NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
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