English

Positive solution for an elliptic system with critical exponent and logarithmic terms

Analysis of PDEs 2023-04-28 v1

Abstract

In this paper, we study the existence and nonexistence of positive solutions for a coupled elliptic system with critical exponent and logarithmic terms. The presence of the the logarithmic terms brings major challenges and makes it difficult to use the previous results established in the work of Chen and Zou without new ideas and innovative techniques.

Keywords

Cite

@article{arxiv.2304.13822,
  title  = {Positive solution for an elliptic system with critical exponent and logarithmic terms},
  author = {Hichem Hajaiej and Tianhao Liu and Linjie Song and Wenming Zou},
  journal= {arXiv preprint arXiv:2304.13822},
  year   = {2023}
}

Comments

The authors welcome any comments

R2 v1 2026-06-28T10:19:04.837Z