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On the Neumann problem for an elliptic system with weights and multiple critical nonlinearities

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Abstract

We consider the solvability of the Neumann problem for an elliptic system of two equations with weights involving two critical Sobolev exponents on a bounded domain in ℝN. By using variational methods, we investigate the effect of the shape of the graph of the weight functions and the geometry of the boundary on the existence of solutions.

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Authors and Affiliations

  1. Laboratoire Systèmes Dynamiques et Applications, Faculté des Sciences, Université de Tlemcen, BP 119, Tlemcen, 13000, Algérie

    Mohammed Bouchekif & Yamina Hamzaoui

Authors
  1. Mohammed Bouchekif
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  2. Yamina Hamzaoui
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Correspondence to Mohammed Bouchekif.

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Submitted by V. V. Zharinov

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Bouchekif, M., Hamzaoui, Y. On the Neumann problem for an elliptic system with weights and multiple critical nonlinearities. Lobachevskii J Math 36, 109–119 (2015). https://doi.org/10.1134/S1995080215020067

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  • DOI: https://doi.org/10.1134/S1995080215020067

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