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On Existence and Stability of Solutions to Elliptic Systems with Generalised Growth
Published online by Cambridge University Press: 17 April 2009
Extract
We are concerned with existence and stability of solutions for system of equations with generalised p(x) and m(x)—Laplace operators and where the nonlinearity satisfies some local growth conditions. We provide a variational approach that is based on investigation of the primal and the dual action functionals. As a consequence we consider the dependence of the the system on functional parameters.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 76 , Issue 3 , December 2007 , pp. 453 - 470
- Copyright
- Copyright © Australian Mathematical Society 2007