Upper Hölder continuity of parametric vector optimization problems [PDF]
This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the ...
Xian-Fu Hu, Xiao-Wei Xue
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Hölder Continuity of a Parametric Generalized Variational Inequality [PDF]
By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the
Li-na Wang, Xiao-bing Li
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Hölder Continuity of Solutions to Parametric Generalized Vector Quasiequilibrium Problems [PDF]
By using a linear scalarization method, we establish sufficient conditions for the Hölder continuity of the solution mappings to a parametric generalized vector quasiequilibrium problem with set-valued mappings.
Z. Y. Peng
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A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems [PDF]
By using a scalarization technique, we extend and sharpen the results in S. Li and X. Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in ...
Xian-Fu Hu
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Inequalities for integral operators in Hölder–Morrey spaces on differential forms
The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
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Holder continuity for vector-valued minimizers of quadratic functionals
In this article we give a sufficient condition for interior everywhere Holder continuity of weak minimizers of a class of quadratic functionals with coefficients $A_{ij}^{\alpha\beta}(\cdot,u)$ belonging to the VMO-class, uniformly with respect to $u\
Josef Danecek, Eugen Viszus
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Hölder continuity of singular parabolic equations with variable nonlinearity
In this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on DiBenedetto’s technique called intrinsic scaling; by choosing an appropriate geometry one can deduce
Bahja Hamid El
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On the Solution of Equations by Extended Discretization
The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros +4 more
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Strong continuity for the 2D Euler equations [PDF]
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano +2 more
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Hölder estimates for parabolic operators on domains with rough boundary [PDF]
In this paper we investigate linear parabolic, second-order boundary value problems with mixed boundary conditions on rough domains. Assuming only boundedness/ellipticity on the coefficient function and very mild conditions on the geometry of the domain -
ter Elst, A. F. M. +3 more
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