Results 31 to 40 of about 10,513 (300)
Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains
, 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
core +1 more source
Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
Mathematics, 2016 This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
doaj +1 more source
Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
openaire +2 more sources
On compactness and connectedness of the paratingent
, 2016 In this note we shall prove that for a continuous function \(\varphi : \Delta\to\mathbb{R}^n\), where \(\Delta\subset\mathbb{R}\), the paratingent of \(\varphi\) at \(a\in\Delta\) is a non-empty and compact set in \(\mathbb{R}^n\) if and only if ...
Zygmunt, Wojciech
core +1 more source
A dichotomy of sets via typical differentiability
Forum of Mathematics, Sigma, 2020 We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
doaj +1 more source
NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 In this study, some inequalities of Hermite Hadamard type obtained for p-convex functions are given for Lipschitz mappings. Also, some applications for special means have been given.
İşcan, İmdat +2 more
openaire +2 more sources
Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
openaire +4 more sources
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Banach spaces of Lipschitz functions and vector-valued Lipschitz functions [PDF]
Bulletin of the American Mathematical Society, 1969 liflid = Sup{ lf(s)-f(t)1 d-1(s, t) I s, t E S, s =# t} is finite. Forfe LipE (S, d), let Ilf I .=sup { lf(s) 1 I s E S} and IlfII = max (IlfK a), IlfIId) It is routine to show that 11 is a norm for which LipE (S, d) is a Banach space. When E is the set of real or complex numbers, we drop the subscript and write Lip (S, d).
openaire +3 more sources
Norm-attaining Lipschitz functionals [PDF]
Banach Journal of Mathematical Analysis, 2016 To appear in Banach Journal of Mathematical ...
Kadets, Vladimir +2 more
openaire +3 more sources