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arXiv · 2407.00353

New type of solutions for a critical Grushin-type problem with competing potentials

Wenjing Chen·Zexi Wang
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Abstract

In this paper, we consider a critical Grushin-type problem with double potentials. By applying the reduction argument and local Poho\u{z}aev identities, we construct a new family of solutions to this problem, which are concentrated at points lying on the top and the bottom circles of a cylinder.

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Wenjing Chen, Zexi Wang. 2024-06-29. New type of solutions for a critical Grushin-type problem with competing potentials. https://arxiv.org/abs/2407.00353

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