Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary
Mamadou Sango (2003)
Annales de l'I.H.P. Analyse non linéaire
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Mamadou Sango (2003)
Annales de l'I.H.P. Analyse non linéaire
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Hongya, Gao, Jinjing, Qiao, Yong, Wang, Yuming, Chu (2008)
Journal of Inequalities and Applications [electronic only]
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A. Demyanov (2009)
Annales de l'I.H.P. Analyse non linéaire
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Fatemi, M.R., Aliyev, N.A. (2010)
Abstract and Applied Analysis
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José Rodríguez (2002)
International Journal of Applied Mathematics and Computer Science
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In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on...
Changchun, Liu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Maria Giovanna Mora, Stefan Müller (2004)
Annales de l'I.H.P. Analyse non linéaire
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Petr Kaplický, Jakub Tichý (2013)
Open Mathematics
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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.