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On Elliptic System Involving Critical Sobolev Exponent and Weights

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Abstract

This paper is devoted to the existence and nonexistence of positive solutions for a semilinear elliptic system involving critical Sobolev exponent and weights. We study the effect of the behavior of weights near their minima on the existence of solutions for the considered problem.

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Authors and Affiliations

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

    Mohammed Bouchekif & Yamina Hamzaoui

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

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Bouchekif, M., Hamzaoui, Y. On Elliptic System Involving Critical Sobolev Exponent and Weights. Mediterr. J. Math. 11, 497–517 (2014). https://doi.org/10.1007/s00009-013-0305-x

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  • DOI: https://doi.org/10.1007/s00009-013-0305-x

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