ANZIAM J.
48 (2006), 245257

On the stability of solutions for the p(x)Laplacian
equation and some applications to optimisation problems with state constraints


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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