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Existence of positive solutions for a class of \(\left( p\left( x\right) , q\left( x\right) \right) \)-Laplacian systems

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Abstract

Using sub-super solutions method, we study the existence of weak positive solutions for a new class of the system of differential equations with respect to the symmetry conditions. Our results are natural extensions from the previous ones in Fan (J Math Anal Appl 330:665–682 2007), Zhang (Nonlinear Anal 70:305–316 2009).

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Exact Sciences, University Tebessa, 12002, Tebessa, Algeria

    Rafik Guefaifia

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

    Salah Boulaaras

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

    Salah Boulaaras

Authors
  1. Rafik Guefaifia
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  2. Salah Boulaaras
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Correspondence to Salah Boulaaras.

Additional information

In memory of the father of second author (1910–1999) Mr. Mahmoud ben Mouha Boulaaras.

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Guefaifia, R., Boulaaras, S. Existence of positive solutions for a class of \(\left( p\left( x\right) , q\left( x\right) \right) \)-Laplacian systems. Rend. Circ. Mat. Palermo, II. Ser 67, 93–103 (2018). https://doi.org/10.1007/s12215-017-0297-7

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  • DOI: https://doi.org/10.1007/s12215-017-0297-7

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