scholarly journals Lipschitz property of bistable or combustion fronts and its applications

2021 ◽  
Author(s):  
Kelei Wang
Keyword(s):  
Lipschitz Property

scholarly journals Invertible harmonic and harmonic quasiconformal mappings

Filomat ◽  
2015 ◽  
Vol 29 (9) ◽  
pp. 1953-1967
Author(s):  
Miodrag Mateljevic
Keyword(s):  
Classical Result ◽  
Quasiconformal Mappings ◽  
Lipschitz Property ◽  
Planar Case ◽  
New Approach

Recently G. Alessandrini - V. Nesi and Kalaj generalized a classical result of H. Kneser (RKCTheorem). Using a new approach we get some new results related to RKC-Theorem and harmonic quasiconformal (HQC) mappings. We also review some results concerning bi-Lipschitz property for HQC-mappings between Lyapunov domains and related results in planar case using some novelty.

scholarly journals The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings

Filomat ◽  
2015 ◽  
Vol 29 (2) ◽  
pp. 221-244 ◽  
Author(s):  
Miodrag Mateljevic
Keyword(s):  
Lower Bound ◽  
Unit Ball ◽  
Convex Domain ◽  
Lipschitz Property ◽  
Planar Case

We give the lower bound for the modulus of the radial derivatives and Jacobian of harmonic injective mappings from the unit ball onto convex domain in plane and space. As an application we show co-Lipschitz property of some classes of qch mappings. We also review related results in planar case using some novelty.

scholarly journals Maximal metric surfaces and the Sobolev-to-Lipschitz property

2020 ◽  
Vol 59 (5) ◽  
Author(s):  
Paul Creutz ◽  
Elefterios Soultanis
Keyword(s):  
Metric Spaces ◽  
Equivalence Classes ◽  
Plateau Problem ◽  
Lipschitz Property ◽  
Maximality Condition ◽  
Volume Rigidity

Abstract We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by Lytchak–Wenger, which satisfies a related maximality condition.

scholarly journals Spectral bounding: Strictly satisfying the 1-Lipschitz property for generative adversarial networks

2020 ◽  
Vol 105 ◽  
pp. 107179 ◽  
Author(s):  
Zhihong Zhang ◽  
Yangbin Zeng ◽  
Lu Bai ◽  
Yiqun Hu ◽  
Meihong Wu ◽  
...  
Keyword(s):  
Generative Adversarial Networks ◽  
Lipschitz Property ◽  
Adversarial Networks

On Lipschitz behaviour of some generalized derivatives

2013 ◽  
Vol 63 (3) ◽  
Author(s):  
Dušan Bednařík ◽  
Karel Pastor
Keyword(s):  
Reference Point ◽  
Clarke Subdifferential ◽  
Generalized Derivatives ◽  
Lipschitz Property ◽  
Dini Derivative ◽  
Stable Property ◽  
Nonsmooth Functions ◽  
Clarke Derivative

AbstractThe aim of the present paper is to compare various forms of stable properties of nonsmooth functions at some points. By stable property we mean the Lipschitz property of some generalized derivatives related only to the reference point. Namely we compare Lipschitz behaviour of lower Clarke derivative, lower Dini derivative and calmness of Clarke subdifferential. In this way, we continue our study of λ-stable functions.

On the Lipschitz property of strict triangular norms

2007 ◽  
Vol 36 (2) ◽  
pp. 127-146 ◽  
Author(s):  
Roberto Ghiselli Ricci ◽  
Radko Mesiar
Keyword(s):  
Lipschitz Property ◽  
Triangular Norms
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