Linked from

The 10 pages that link to Dirichlet problem, each with the reason it gives.

• Boundary value problemBroader topic: It is the standard formulation when the boundary values themselves are specified.

• Poisson's equationBroader topic: It is a common way to complete Poisson's equation into a uniquely solvable problem.

• Laplace's equationRelated: For Laplace's equation, these boundary values determine a unique solution under standard conditions.

• Harmonic functionBroader topic: It is the central boundary-value problem for harmonic functions.

• Maximum principleRelated: The principle bounds solutions by prescribed boundary data and supports uniqueness.

• Dirichlet boundary conditionBroader topic: It is the canonical setting for solving an equation with Dirichlet data.

• Potential theoryRelated: It expresses how boundary values determine an interior potential.

• Schwarz–Christoffel mappingRelated: Mapping a polygon to a half-plane can simplify its boundary data.

• Schwarz reflection principleRelated: Reflection can extend solutions when boundary geometry and data have suitable symmetry.

• Harnack's principleRelated: Monotone harmonic approximations can arise in existence arguments for boundary-value problems.