Results 11 to 20 of about 10,513 (300)
Smooth Approximation of Lipschitz Functions on Finsler Manifolds [PDF]
Journal of Function Spaces and Applications, 2013 We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido +2 more
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ITM Web of Conferences, 2018 The classical Lipschitz extension problem in concerned for conditions on a pair of metric spaces (X,dX) and (Y,dY) such that for all Ω ⊂ X and for all Lipschitz function and for all Lipschitz function f : Ω → Y, then there is a function g : X → Y that ...
Viet Phan Thanh
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Classification of Lipschitz simple function germs [PDF]
, 2020 It was shown by Henry and Parusiński in 2003 that the bi-Lipschitz right equivalence of function germs admits moduli. In this article, we introduce the notion of Lipschitz simple function germ and present the complete classification in the complex case ...
Ruas, M., Nguyen, N., Trivedi, S.
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EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES [PDF]
, 2021 [EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere inequalities and other measure-
Sánchez-Pérez, Enrique A. +4 more
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Structure of level sets and Sard-type properties of Lipschitz maps [PDF]
, 2013 We consider certain properties of maps of class C2 from Rd to Rd−1 that are strictly related to Sard’s theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity.
Bianchini, S. +8 more
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Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales
Mathematics, 2023 The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales.
Andrejs Reinfelds, Shraddha Christian
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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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On the Lipschitz operator algebras [PDF]
, 2009 summary:In a recent paper by H. X. Cao, J. H. Zhang and Z. B. Xu an $\alpha $-Lipschitz operator from a compact metric space into a Banach space $A$ is defined and characterized in a natural way in the sence that $F:K\rightarrow A$ is a $\alpha ...
Shokri, A. A., Ebadian, A.
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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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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