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arXiv · 2304.13822

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

Hichem Hajaiej·Tianhao Liu·Linjie Song·Wenming Zou
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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.

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Hichem Hajaiej, Tianhao Liu, Linjie Song, Wenming Zou. 2023-04-26. Positive solution for an elliptic system with critical exponent and logarithmic terms. https://arxiv.org/abs/2304.13822

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