Linked from

The 23 pages that link to Elliptic partial differential equation, each with the reason it gives.

• Poisson's equationNarrower topic: This classification explains Poisson's smoothing behavior and boundary-value structure.

• Laplace's equationNarrower topic: Laplace's equation is the canonical elliptic equation.

• Harmonic functionNarrower topic: The Laplace equation is the prototype of an elliptic equation.

• Maximum principleNarrower topic: Ellipticity supplies the structural conditions behind the theorem’s interior restrictions.

• Weak solutionNarrower topic: Weak-solution theory provides existence and regularity tools for broad classes of elliptic equations.

• Potential theoryNarrower topic: Potential theory is a classical part of the broader analysis of elliptic equations.

• Dirichlet problemNarrower topic: Many classical Dirichlet problems concern elliptic equations such as Laplace’s equation.

• Elliptic regularityNarrower topic: Elliptic regularity applies across this family of equations.

• Lax–Milgram theoremNarrower topic: Coercive variational formulations commonly arise from elliptic equations.

• Shing-Tung YauNarrower topic: Elliptic estimates are among the analytic tools used in Yau’s geometric existence proofs.

• Friedrichs' inequalityNarrower topic: Friedrichs' inequality is a standard tool in their weak analysis.

• Harnack's principleNarrower topic: The Laplace equation is a central example in the broader theory of elliptic equations.