Absence of nontrivial solutions for a class of partial differential equations and systems in unbounded domains.
Akrout, K., Khodja, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Akrout, K., Khodja, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ibrahim, Sobhy El-Sayed (2003)
International Journal of Mathematics and Mathematical Sciences
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Bisognin, Eleni, Bisognin, Vanilde, Coimbra Charão, Ruy (2003)
Portugaliae Mathematica. Nova Série
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Mařík, Robert (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Martin Kružík, Agnieszka Kałamajska (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We use DiPerna’s and Majda’s generalization of Young measures to describe oscillations and concentrations in sequences of gradients, , bounded in if and is a bounded domain with the extension property in . Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of are required and links with lower semicontinuity...
Tatar, Nasser-Eddine (2005)
International Journal of Mathematics and Mathematical Sciences
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Ivan Hlaváček (2000)
Applications of Mathematics
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A unilateral contact problem with a variable coefficient of friction is solved by a simplest variant of the finite element technique. The coefficient of friction may depend on the magnitude of the tangential displacement. The existence of an approximate solution and some a priori estimates are proved.
Santos, M.L., Rocha, M.P.C., Pereira, D.C., Ferreira, J. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gür, Şevket (2010)
Journal of Inequalities and Applications [electronic only]
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