Results 71 to 80 of about 14,626,795 (163)

On the relationship between coercivity conditions and CPS type conditions of local Lipschitz functional

open access: yes四川大学学报. 自然科学版
In this paper, using Ekeland’s variational principle and Clarke’s generalized gradient theory for non-smooth local Lipschitz functional, we study the relationship between classical coercive condition and Palais-Smale type condition generalized by Gong ...
ZHANG Xin-Yu, ZHANG Shi-Qing
doaj  

Basic theory of differential equations with linear perturbations of second type on time scales

open access: yesBoundary Value Problems, 2019
In this paper, we develop the theory of differential equations with linear perturbations of second type on time scales. An existence theorem for differential equations with linear perturbations of second type on time scales is given under D $\mathscr{D}$
Yige Zhao   +3 more
doaj   +1 more source

Decomposition Method for Lipschitz Stability of General LASSO-type Problems [PDF]

open access: yes
This paper introduces a decomposition-based method to investigate the Lipschitz stability of solution mappings for general LASSO-type problems with convex data fidelity and $\ell_1$-regularization terms. The solution mappings are considered as set-valued
Zhang, Jin, Hu, Chunhai, Yao, Wei
core   +1 more source

A Frobenius-type theorem for singular Lipschitz distributions [PDF]

open access: yes, 2020
We prove a Frobenius-type theorem for singular distributions generated by a family of locally Lipschitz continuous vector fields satisfying almost everywhere a quantitative finite type ...
Daniele Morbidelli Tuesday   +2 more
core  

An interpolative class of two-Lipschitz mappings of composition type [PDF]

open access: yes
[EN] The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphismidentification of two-Lipschitz operators and Lipschitz operators.
Hamidi, Khaled   +3 more
core   +1 more source

Derivative and Lipschitz Type Characterizations of Variable Exponent Bergman Spaces

open access: yes, 2018
We give derivative and Lipschitz type characterizations of Bergman spaces with log-Hölder continuous variable ...
Rumeng Ma, Jingshi Xu
core   +1 more source

Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

open access: yesFixed Point Theory and Applications, 2011
In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions.
Bae Kwan, Kim Do
doaj  

Periodic solutions for second-order differential inclusions with nonsmooth potentials under weak AR-conditions

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study a periodic second-order differential inclusions with locally Lipschitz potentials. By means of the least action principle and the minimax principle of nonsmooth type, we prove the existence of two nontrivial periodic ...
Lizhen Chen, Qinghua Zhang, Gang Li
doaj  

Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights

open access: yes, 2019
We prove that a generalized Fefferman-Phong type condition on a pair of weights uand v is sufficient for the boundedness of the commutators of potential type operators from Lp(·)_v into Lq(·)_u.
Ramos, Wilfredo Ariel   +5 more
core   +1 more source

Lipschitz Classification of definable Surface Singularities 

open access: yes, 2019
We consider the problem of Lipschitz classification of singularities of Real Surfaces definable in a polynomially bounded o-minimal structure (e.g., semialgebraic or subanalytic) with respect to the outer metric.
Gabrielov, Andrei
core   +1 more source

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