Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (2): 397-412.doi: 10.1007/s10473-021-0205-2

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EXISTENCE AND BOUNDEDNESS OF SOLUTIONS FOR SYSTEMS OF QUASILINEAR ELLIPTIC EQUATIONS

Abdelkrim MOUSSAOUI1, Jean VELIN2   

  1. 1. Applied Mathematics Laboratory, Faculty of Exact Sciences, A. Mira Bejaia University, Algeria;
    2. Département de Mathématiques et Informatique, Laboratoire LAMIA, Universitédes Antilles, Campus de Fouillole 97159 Pointe-à-Pitre, Guadeloupe(FWI)
  • Received:2019-09-12 Revised:2020-04-27 Online:2021-04-25 Published:2021-04-29
  • About author:Abdelkrim MOUSSAOUI,E-mail:abdelkrim.moussaoui@univ-bejaia.dz;Jean VELIN,E-mail:jean.velin@univ-antilles.fr
  • Supported by:
    The first author was supported by the Directorate-General of Scientific Research and Technological Development (DGRSDT)

Abstract: This article sets forth results on the existence and boundedness of solutions for quasilinear elliptic systems involving p-Laplacian and q-Laplacian operators. The approach combines Schaefer's fixed point as well as Moser's iteration procedure.

Key words: p-Laplacian, Schaefer's fixed point, Besov and Sobolev spaces, boundedness, regularity

CLC Number: 

  • 35J60
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