Results 31 to 40 of about 6,536,345 (211)
Negative Energy Solutions for a New Fractional px-Kirchhoff Problem without the (AR) Condition
Journal of Function Spaces, 2021 In this paper, we investigate the following Kirchhoff type problem involving the fractional px-Laplacian operator. a−b∫Ω×Ωux−uypx,y/px,yx−yN+spx,ydxdyLu=λuqx−2u+fx,ux∈Ωu=0 x∈∂Ω,, where Ω is a bounded domain in ℝN with Lipschitz boundary, a≥b>0 are ...
Weichun Bu +3 more
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Nonlinear Analysis, 2023 We present existence and controllability results for mild solutions to the Atangana–Baleanu fractional evolution equations. We prove our results by applying bounded integral contractors and a sequencing technique.
Renu Chaudhary, Simeon Reich
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Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation
Journal of Function Spaces, 2014 We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.
Odalis Mejía +2 more
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A Penalization-Gradient Algorithm for Variational Inequalities
International Journal of Mathematics and Mathematical Sciences, 2011 This paper is concerned with the study of a penalization-gradient algorithm for solving variational inequalities, namely, find x̅∈C such that 〈Ax̅,y-x̅〉≥0 for all y∈C, where A:H→H is a single-valued operator, C is a closed convex set of a real Hilbert ...
Abdellatif Moudafi, Eman Al-Shemas
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Operator Lipschitz functions on Banach spaces [PDF]
Studia Mathematica, 2016 Final version published in Studia Mathematica, with some minor ...
Rozendaal, Jan +2 more
openaire +3 more sources
Operator Ideals in Lipschitz and Operator Spaces Categories [PDF]
, 2012 We study analogues, in the Lipschitz and Operator Spaces categories, of several classical ideals of operators between Banach spaces. We introduce the concept of a Banach-space-valued molecule, which is used to develop a duality theory for several ...
Chavez Dominguez, Javier
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Real-valued Lipschitz functions and metric properties of functions
, 2020 The purpose of this article is to explore the very general phenomenon that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by an arbitrary realvalued Lipschitz function, the ...
Beer, Gerald +1 more
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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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Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals
Journal of Function Spaces and Applications, 2012 This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b.
Dongxiang Chen, Suzhen Mao
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Advances in Difference Equations, 2019 This paper is concentrated on a class of difference equations with a Weyl-like fractional difference in a Banach space X forms like △αx(n)=Ax(n+1)+F(n,x(n)),n∈Z, $$ \triangle ^{\alpha }x(n)=Ax(n+1)+F\bigl(n, x(n)\bigr), \quad n\in \mathbb{Z}, $$ where α∈(
Junfei Cao, Bessem Samet, Yong Zhou
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