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On the stability of solutions for the p(x)-Laplacian equation and some applications to optimisation problems with state constraints
Published online by Cambridge University Press: 17 February 2009
Abstract
We consider the stability of solutions for a family of Dirichlet problems with (p, q)-growth conditions. We apply the results obtained to show continuous dependence on a functional parameter and the existence of an optimal solution in a control problem with state constraints governed by the p(x)-Laplacian equation.
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- Copyright © Australian Mathematical Society 2006
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