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Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

Boundary Value Problems volume 2007, Article number: 085621 (2007) Cite this article

Abstract

Using variational methods, we prove the existence and nonexistence of positive solutions for a class of-Laplacian systems with a parameter.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Al-Imam University, P.O. Box 90950, Riyadh, 11623, Saudi Arabia

    Said El Manouni

  2. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    Kanishka Perera

Authors
  1. Said El Manouni
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  2. Kanishka Perera
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Corresponding author

Correspondence to Said El Manouni.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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El Manouni, S., Perera, K. Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems. Bound Value Probl 2007, 085621 (2007). https://doi.org/10.1155/2007/85621

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  • DOI: https://doi.org/10.1155/2007/85621

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Variational Method