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An asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(\left( p\left( x\right) ,q\left( x\right) \right) \)-Laplacian systems

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Abstract

The propose of this paper is to study of the existence and asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(\left( p\left( x\right) ,q\left( x\right) \right) \)-Laplacian systems using sub-super solutions method, with respect to the symmetry conditions. Our results are natural extensions from the previous recent ones in Edmunds and Rakosnk (Proc R Soc Lond Ser A 437:229–236, 1992).

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Acknowledgements

The authors would like to thank the anonymous referees and the handling editor for their careful reading and for relevant remarks/suggestions which helped them to improve the paper. The first author gratefully acknowledge Qassim University in Kingdom of Saudi Arabia and this presented work is in memory of his father (1910–1999) Mr. Mahmoud ben Mouha Boulaaras.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Qassim, Kingdom of Saudi Arabia

    Salah Boulaaras

  2. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

    Salah Boulaaras

  3. Department of Mathematics and Computer Science, Larbi Tebessi University, 12002, Tebessa, Algeria

    Rafik Guefaifia

  4. Oran, Algeria

    Sarah Kabli

Authors
  1. Salah Boulaaras
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  2. Rafik Guefaifia
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  3. Sarah Kabli
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Correspondence to Salah Boulaaras.

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Boulaaras, S., Guefaifia, R. & Kabli, S. An asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(\left( p\left( x\right) ,q\left( x\right) \right) \)-Laplacian systems. Bol. Soc. Mat. Mex. 25, 145–162 (2019). https://doi.org/10.1007/s40590-017-0184-4

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