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On nontrivial Solution for a quasilinear elliptic system involving variable exponents via a sub-supersolution method

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  • Jean Velin

    (Department of Mathematic and Computer, Laboratory CEREGMIA, University of Antilles-Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre Guadeloupe (FWI).)

Abstract

In this paper, we presente some existence results concerning in a typical (p(x), q(x))- gradient elliptic system with changing sign. We construct a pair of sub-super solutions. The existence of a positive and bounded solution involves.

Suggested Citation

  • Jean Velin, 2013. "On nontrivial Solution for a quasilinear elliptic system involving variable exponents via a sub-supersolution method," Documents de Travail 2013-15, CEREGMIA, Université des Antilles et de la Guyane.
    • Handle: RePEc:crg:wpaper:dt2013-15
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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2013-15_Velin.pdf
    File Function: First version, 2013
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