Local regularity results for minima of anisotropic functionals and solutions of anisotropic equations.
Hongya, Gao, Jinjing, Qiao, Yong, Wang, Yuming, Chu (2008)
Journal of Inequalities and Applications [electronic only]
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Hongya, Gao, Jinjing, Qiao, Yong, Wang, Yuming, Chu (2008)
Journal of Inequalities and Applications [electronic only]
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Shi, Yanxia, Liu, Zheng (2009)
Applied Mathematics E-Notes [electronic only]
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Xiaofei Guan, Mingxia Li, Wenming He, Zhengwu Jiang (2014)
Open Mathematics
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In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the...
Zhao, C.-J, Cheung, W.-S (2008)
Journal of Inequalities and Applications [electronic only]
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Ivanka Tr. Angelova, Lubin G. Vulkov (2007)
Kragujevac Journal of Mathematics
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Jaroš, Jaroslav, Takaŝi, Kusano, Yoshida, Norio (2006)
Journal of Inequalities and Applications [electronic only]
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Pachpatte, B.G. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Salvatore Bonafede (1994)
Commentationes Mathematicae Universitatis Carolinae
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Sufficient conditions are obtained so that a weak subsolution of , bounded from above on the parabolic boundary of the cylinder , turns out to be bounded from above in .