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On Existence and Stability of Solutions to Elliptic Systems with Generalised Growth

  • Marek Galewski (a1) and Marek Plócienniczak (a1)

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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.

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References

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On Existence and Stability of Solutions to Elliptic Systems with Generalised Growth

  • Marek Galewski (a1) and Marek Plócienniczak (a1)

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