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On the Existence and Stability of Solutions for a System of Elliptic Equations

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Abstract.

We show, using a dual variational method developed in the paper, the existence of solutions for a system of Dirichlet problems for partial differential equations involving p– and q–Laplacian. The stability of solutions and the existence of positive solutions is considered in the superlinear case.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland

    Marek Galewski & Aleksandra Orpel

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  1. Marek Galewski
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  2. Aleksandra Orpel
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Correspondence to Marek Galewski.

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Galewski, M., Orpel, A. On the Existence and Stability of Solutions for a System of Elliptic Equations. MedJM 5, 187–198 (2008). https://doi.org/10.1007/s00009-008-0143-4

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  • DOI: https://doi.org/10.1007/s00009-008-0143-4

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