The nonzero solutions and multiple solutions for a class of bilinear variational inequalities.
Huang, Jianhua (2007)
Journal of Inequalities and Applications [electronic only]
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Huang, Jianhua (2007)
Journal of Inequalities and Applications [electronic only]
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Liang, Zongqi (2009)
Discrete Dynamics in Nature and Society
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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...
Castro T., Rafael A. (2008)
Revista Colombiana de Matemáticas
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Doboş, Gheorghe (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Liu, Zeqing, Chen, Lin, Ume, Jeong Sheok, Kang, Shin Min (2009)
Journal of Inequalities and Applications [electronic only]
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Jindřich Nečas, Ivan Hlaváček (1983)
Aplikace matematiky
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A problem of unilateral contact between an elasto-plastic body and a rigid frictionless foundation is solved within the range of the so called deformation theory of plasticity. The weak solution is defined by means of a variational inequality. Then the so called secant module (Kačanov's) iterative method is introduced, each step of which corresponds to a Signorini's problem of elastoplastics. The convergence of the method is proved on an abstract level.