Results 1 to 10 of about 145 (69)
On the Hölder continuity for a class of vectorial problems
Advances in Nonlinear Analysis, 2019 In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands.
Matteo Focardi +2 more
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Inequalities for integral operators in Hölder–Morrey spaces on differential forms
Journal of Inequalities and Applications, 2023 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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On the Solution of Equations by Extended Discretization
Computation, 2020 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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Upper Hölder continuity of parametric vector optimization problems
Journal of Inequalities and Applications, 2016 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 estimates of mild solutions for nonlocal SPDEs
Advances in Difference Equations, 2019 We consider nonlocal PDEs driven by additive white noises on Rd ${\mathbb{R}}^{d}$. For Lq $L^{q}$ integrable coefficients, we derive the existence and uniqueness, as well as Hölder continuity, of mild solutions.
Rongrong Tian +3 more
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Hölder continuity of singular parabolic equations with variable nonlinearity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 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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Journal of Function Spaces and Applications, 2010 We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko +2 more
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Hölder Continuity of a Parametric Generalized Variational Inequality
Abstract and Applied Analysis, 2014 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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Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems
Journal of Inequalities and Applications, 2017 We study partial regularity of very weak solutions to some nonhomogeneous A-harmonic systems. To obtain the reverse Hölder inequality of the gradient of a very weak solution, we construct a suitable test function by Hodge decomposition.
Qing Zhao, Shuhong Chen
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Geometry and Measurement in Otto Hölder’s Epistemology
Philosophia Scientiæ, 2013 The aim of the paper is to analyze Hölder’s understanding of geometry and measurement presented in Intuition and Reasoning [Hölder 1900], “The Axioms of Quantity and the Theory of Measurement” [Hölder 1901], and The Mathematical Method [Hölder 1924]. The
Paola Cantù
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