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On the Dirichlet problem of elliptic type

Published online by Cambridge University Press:  17 April 2009

Marek Galewski
Marek Galewski
Affiliation:
Faculty of Mathematics, University of Lodz, Banacha 22, 90–238 Lodz, Poland, e-mail: galewski@math.uni.lodz.pl
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 169 - 177
Copyright
Copyright © Australian Mathematical Society 2007

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