数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (2): 397-412.doi: 10.1007/s10473-021-0205-2

• 论文 • 上一篇    下一篇

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)
  • 收稿日期:2019-09-12 修回日期:2020-04-27 出版日期:2021-04-25 发布日期:2021-04-29
  • 作者简介:Abdelkrim MOUSSAOUI,E-mail:abdelkrim.moussaoui@univ-bejaia.dz;Jean VELIN,E-mail:jean.velin@univ-antilles.fr
  • 基金资助:
    The first author was supported by the Directorate-General of Scientific Research and Technological Development (DGRSDT)

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)

摘要: 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.

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

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

中图分类号: 

  • 35J60