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Quasivariational solutions for first-order quasilinear equations with gradient constraint (Q2276333)

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Quasivariational solutions for first-order quasilinear equations with gradient constraint
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    Quasivariational solutions for first-order quasilinear equations with gradient constraint (English)
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    5 November 2012
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    The authors establish an existence result for an evolutionary quasi-variational inequality involving a constraint expressed through the gradient of the solution. The method of vanishing viscosity and constraint penalization are utilized. Stationary solutions and uniqueness are also investigated.
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    quasi-variational inequality
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    quasilinear operator
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    gradient constraint
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    parabolic regularization
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