Dirichlet problem (Laplace equation)

Layer 0 — Mathematicsin the potential-theory subtree

Dirichlet 1850s + Perron 1923: Laplace equation Delta u = 0 on bounded domain with prescribed boundary values; classical existence via subharmonic-functions; PDE foundation.

Related concepts

Harmonic function & potential
Sobolev space W^{k,p}

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