On the existence of solutions of a nonlocal elliptic equation with a -Kirchhoff-type term.
Corrêa, Francisco Julio S.A., Nascimento, Rúbia G. (2008)
International Journal of Mathematics and Mathematical Sciences
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Corrêa, Francisco Julio S.A., Nascimento, Rúbia G. (2008)
International Journal of Mathematics and Mathematical Sciences
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Discrete Dynamics in Nature and Society
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Castro T., Rafael A. (2008)
Revista Colombiana de Matemáticas
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John W. Barrett, Linda El Alaoui (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a system of degenerate parabolic equations modelling a thin film, consisting of two layers of immiscible Newtonian liquids, on a solid horizontal substrate. In addition, the model includes the presence of insoluble surfactants on both the free liquid-liquid and liquid-air interfaces, and the presence of both attractive and repulsive van der Waals forces in terms of the heights of the two layers. We show that this system formally satisfies a Lyapunov structure, and a...
Melham, R.S. (1999)
Portugaliae Mathematica
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Ramm, Alexander G. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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