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Transversally Lipschitz harmonic functions are Lipschitz [PDF]
Complex Variables and Elliptic Equations, 2013 Let Ω\subset\mathbb{R}^n be a bounded domain with C^\infty boundary. We show that a harmonic function in Ωthat is Lipschitz along a family of curves transversal to bΩis Lipschitz in Ω. The space of Lipschitz functions we consider is defined using the notion of a majorant which is a certain generalization of the power functions t^α ...
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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Meagerness of Lipschitz Functions
, 2021 We show that the class of Lipschitz real-valued functions on a compact set $K$ in $\mathbb{R}$ is meager in $C(K)$ with respect to the supremum metric. As these Lipschitz functions are dense in $C(K)$, this result complements the classical surprising ...
Yu-Lin Chou
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Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 ElsevierElliptic PDE systems of the second order with coefficients from L∞ or Holder-Lipschitz spaces are considered in ...
Mikhailov, SE
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Lipschitz bijections between boolean functions [PDF]
, 2020 We answer four questions from a recent paper of Rao and Shinkar [17] on Lipschitz bijections between functions from {0, 1}n to {0, 1}. (1) We show that there is no O(1)-bi-Lipschitz bijection from Dictator to XOR such that each output bit depends on O(1)
Scott, A, Johnston, T
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Algorithmic Aspects of Lipschitz Functions [PDF]
Computability, 2014 We characterize the variation functions of computable Lipschitz functions. We show that a real
Cameron E. Freer +3 more
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On the experimental investigation of Pareto–Lipschitzian optimization
Lietuvos Matematikos Rinkinys, 2011 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Justas Stašionis
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Lattices of Lipschitz functions [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a metric space. We observe that \(\text{Lip}(M)\) has a striking lattice structure: its closed unit ball is lattice-complete and completely distributive. This motivates further study into the lattice structure of \(\text{Lip}(M)\) and its relation to \(M\).
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Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
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On the derivability of Lipschitz functions [PDF]
, 2001 We show that given any Borel measure on ℝ, every Lipschitz function is μ-a. e. differentiable with respect to μ.
Aldaz, J.M. [0000-0001-8472-2606] +1 more
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