In mathematics, a Lipschitz domain (or domain with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regular" in the sense...

In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions...

Codomain Domain decomposition Effective domain Image (mathematics) Lipschitz domain Naive set theory Range of a function Support (mathematics) "Domain, Range...

Cauchy–Lipschitz theorem Lipschitz domain Lipschitz quaternion Lipschitz continuity Uniform, Hölder and Lipschitz continuity Lipschitz distance Lipschitz-continuous...

considered types of domains are domains with continuous boundary, Lipschitz boundary, C1 boundary, and so forth. A bounded domain is a domain that is bounded...

Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis...

Hurwitz (1919). A Lipschitz quaternion (or Lipschitz integer) is a quaternion whose components are all integers. The set of all Lipschitz quaternions L =...

{R} ^{n}} is either the full space, a half-space or a bounded and Lipschitz domain. If s ∈ ( 0 , 1 ) {\displaystyle s\in (0,1)} and p ≥ 1 {\displaystyle...

theorem and Kondrashov the Lp theorem. Let Ω ⊆ Rn be an open, bounded Lipschitz domain, and let 1 ≤ p < n. Set p ∗ := n p n − p . {\displaystyle p^{*}:={\frac...

and K is a simply connected Lipschitz domain, so that the integral of f vanishes on every congruent copy of K. Then the domain is a ball. A special case...