Opuscula Math. 34, no. 4 (2014), 733-745
http://dx.doi.org/10.7494/OpMath.2014.34.4.733

 
Opuscula Mathematica

Weak heteroclinic solutions and competition phenomena to anisotropic difference equations with variable exponents

Aboudramane Guiro
Blaise Kone
Stanislas Ouaro

Abstract. In this paper, we prove the existence of weak heteroclinic solutions for a family of anisotropic difference equations under competition phenomena between parameters.

Keywords: anisotropic difference equations, anisotropic difference equations, heteroclinic solutions, discrete Hölder type inequality, competition phenomena.

Mathematics Subject Classification: 47A75, 35B38, 35P30, 34L05, 34L30.

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  • Aboudramane Guiro
  • LAboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences et Techniques, Université Polytechnique de Bobo Dioulasso, 01 BP 1091 Bobo-Dioulasso 01, Bobo Dioulasso, Burkina Faso
  • Blaise Kone
  • LAboratoire de Mathématiques et Informatique (LAMI), Institut Burkinabé des Arts et Métiers, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
  • Stanislas Ouaro
  • LAboratoire de Mathématiques et Informatique (LAMI), UFR. Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
  • Received: 2014-02-16.
  • Revised: 2014-07-22.
  • Accepted: 2014-09-18.
Opuscula Mathematica - cover

Cite this article as:
Aboudramane Guiro, Blaise Kone, Stanislas Ouaro, Weak heteroclinic solutions and competition phenomena to anisotropic difference equations with variable exponents, Opuscula Math. 34, no. 4 (2014), 733-745, http://dx.doi.org/10.7494/OpMath.2014.34.4.733

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