Sobolev embedding theorem

Layer 0 — Mathematicsin the differential-equations subtree

W^{k,p}(ℝ^n) embeds into L^q for 1/q = 1/p − k/n (when positive), or into C^{k−[n/p], α} when k>n/p. Backbone of elliptic regularity and nonlinear PDE.

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