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On the Dirichlet problem of elliptic type
Published online by Cambridge University Press: 17 April 2009
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We investigate the existence of solutions and their stability for elliptic Dirichlet problems with nonlinearity of a convex-concave type. By relating the primal action and the dual action functionals on certain subsets of their domains we get the existence of solutions which are further stable with respect to a numerical parameter. We allow also for the differential operator to depend on a numerical parameter.
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- Copyright © Australian Mathematical Society 2007