Results 31 to 40 of about 15,411,558 (330)
Integrability for Solutions of Anisotropic Obstacle Problems
International Journal of Mathematics and Mathematical Sciences, 2012 This paper deals with anisotropic obstacle problem for the đ-harmonic equation âi=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u ...
Hongya Gao, Yanjie Zhang, Shuangli Li
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Nano-Micro Letters, 2022 Highlights A self-powered and highly sensitive tribo-label-sensor is proposed as the substitution of infrared sensor for addressing current issues in label printer.
Xindan Hui +8 more
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Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
Mathematics, 2023 Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation.
Shou-Ting Chen, Wen-Xiu Ma
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Qualitative analysis of very weak solutions to Dirac-harmonic equations
Journal of Inequalities and Applications, 2022 In this paper, we introduce a definition of very weak solutions to the homogenous Dirac-harmonic equations for differential forms. In this setting, applying the Gehring lemma and interpolation theorems, we establish a higher integrability of the Dirac ...
Guannan Shi, Ye Zhang
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Gradient integrability and rigidity results for two-phase conductivities in two dimensions [PDF]
, 2014 This paper deals with higher gradient integrability for Ï-harmonic functions u with discontinuous coefficients Ï, i.e. weak solutions of div(Ïâu)=0 in dimension two.
Nesi, Vincenzo +2 more
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Differentiation of integrals in higher dimensions [PDF]
Proceedings of the National Academy of Sciences, 2013 We prove a localization principle for directional maximal operators in L p (â n ), with p > 1.
J. Parcet, K. M. Rogers
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Boundary higher integrability for very weak solutions of quasilinear parabolic equations [PDF]
Journal des Mathématiques Pures et Appliquées, 2018 We prove boundary higher integrability for the (spatial) gradient of \emph{very weak} solutions of quasilinear parabolic equations of the form $$u_t - \text{div}\,\mathcal{A}(x,t, \nabla u)=0 \quad \text{on} \ \Omega \times \mathbb{R},$$ where the non ...
K. Adimurthi, Sun-Sig Byun
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Partial regularity up to the boundary for solutions of subquadratic elliptic systems
Advances in Nonlinear Analysis, 2018 In this paper, we are concerned with the nonlinear elliptic systems in divergence form under controllable growth condition. We prove that the weak solution u is locally Hölder continuous besides a singular set by using the direct method and classical ...
Tan Zhong, Wang Yanzhen, Chen Shuhong
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Higher-Loop Integrability in N=4 Gauge Theory [PDF]
, 2004 The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of novel integrable
Arutyunov +20 more
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Higher integrability for the singular porous medium system [PDF]
Journal fĂŒr die Reine und Angewandte Mathematik, 2018 In this paper we establish in the fast diffusion range the higher integrability of the spatial gradient of weak solutions to porous medium systems. The result comes along with an explicit reverse Hölder inequality for the gradient.
V. Bögelein +2 more
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