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

• Autores: Elzbieta Galewska, Marek Galewski
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 2, 2006, págs. 245-258
• Idioma: inglés
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• Resumen

  • 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.