Renormalized solutions of a nonlinear parabolic equation with double degeneracy.
Wang, Zejia, Li, Yinghua, Wang, Chunpeng (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wang, Zejia, Li, Yinghua, Wang, Chunpeng (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Holden, H., Karlsen, K.H., Mitrovic, D. (2009)
International Journal of Differential Equations
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Willie, Robert (2003)
Journal of Applied Mathematics
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Redwane, H. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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E. N. Dancer, Shusen Yan (2004)
Annales de l'I.H.P. Analyse non linéaire
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Valeria Chiadò Piat, Andrey Piatnitski (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and combining the bulk (volume distributed) energy and the surface energy distributed on the perforation boundary. It is assumed that the mean value of surface energy at each level set of test function is equal to zero. Under natural coercivity and -growth assumptions on the bulk energy, and the assumption that the surface energy satisfies -growth...
I. A. Guerra (2008)
Annales de l'I.H.P. Analyse non linéaire
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Jiří Vala (2003)
Applications of Mathematics
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Modelling of macroscopic behaviour of materials, consisting of several layers or components, cannot avoid their microstructural properties. This article demonstrates how the method of Rothe, described in the book of K. Rektorys The Method of Discretization in Time, together with the two-scale homogenization technique can be applied to the existence and convergence analysis of some strongly nonlinear time-dependent problems of this type.