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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Yao, Fengping (2010)
Journal of Inequalities and Applications [electronic only]
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Jaroš, Jaroslav, Takaŝi, Kusano, Yoshida, Norio (2006)
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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Salvatore Bonafede (2003)
Mathematica Bohemica
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We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.
Shi, Yanxia, Liu, Zheng (2009)
Applied Mathematics E-Notes [electronic only]
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Zhao, C.-J, Cheung, W.-S (2008)
Journal of Inequalities and Applications [electronic only]
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Banks, H.T., Cioranescu, D., Miller, R.E. (1996)
Portugaliae Mathematica
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Yves Capdeboscq, Michael S. Vogelius (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.