Results 1 to 10 of about 321,760 (289)
Local Regularity Results for Minima of Anisotropic Functionals and Solutions of Anisotropic Equations [PDF]
Journal of Inequalities and Applications, 2008 This paper gives some local regularity results for minima of anisotropic functionals I(u;Ω)=∫Ωf(x,u,Du)dx, u∈Wloc1,qi(Ω) and for solutions of anisotropic equations −divðÂÂ’Âœ(x,u,Du)=-∑i=1N(∂f/∂
Yu-Ming Chu, Hongya Gao
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Anisotropic Two-Microlocal Spaces and Regularity [PDF]
Journal of Function Spaces, 2014 We define D-u-anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on any D-u-anisotropic wavelet basis of L2(Rd). We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity.
Mourad Ben Slimane
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Demonstratio Mathematica, 2023 In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces.
Maria Alessandra Ragusa +2 more
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Grain modeling and finite element simulation of damage evolution for AA5182-O aluminum alloy sheet
Journal of Materials Research and Technology, 2020 The evolution of crystal damage in rolled AA5182-O aluminum alloy sheet was studied by experiment and finite element simulation in this paper. Grain size characteristic on rolling anisotropy was determined by electron backscatter diffraction (EBSD) test ...
Gui Li, Saisai Cui
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Application of the Stampacchia lemma to anisotropic degenerate elliptic equations
Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this paper, we prove the existence and regularity of solutions for a class of nonlinear anisotropic degenerate elliptic equations with the data f belonging to certain Marcinkiewicz spaces Mm(Ω) with m > 1.
Hichem
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Generalized compact star models with conformal symmetry
European Physical Journal C: Particles and Fields, 2021 We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated,
J. W. Jape +3 more
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Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
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Известия Алтайского государственного университета, 2018 In this paper, anisotropic Sobolev — Slobodetskii spaces in poly-cylindrical domains of any dimension N are considered. In the first part of the paper we revisit the well-known Lions — Magenes Trace Theorem (1961) and, naturally, extend regularity ...
С.А. Саженков +1 more
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Directional Multifractal Analysis in the Lp Setting
Journal of Function Spaces, 2019 The classical Hölder regularity is restricted to locally bounded functions and takes only positive values. The local Lp regularity covers unbounded functions and negative values. Nevertheless, it has the same apparent regularity in all directions. In the
Mourad Ben Slimane +4 more
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