A weighted Adams' inequality in $\mathbb{R}^4$ and applications

Wenjing Chen; Shiqi Zhang

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arXiv · 2303.14497

A weighted Adams' inequality in $\mathbb{R}^4$ and applications

Wenjing Chen·Shiqi Zhang

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Abstract

In this paper, we establish a weighted Adams' inequality in some appropriate weighted Sobolev space in $\mathbb{R}^4$. Then we give an improvement inequality by proving the concentration-compactness result. In the last part, we consider an application to elliptic equation involving new exponential growth at infinity in $\mathbb{R}^4$.

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Wenjing Chen, Shiqi Zhang. 2023-03-25. A weighted Adams' inequality in $\mathbb{R}^4$ and applications. https://arxiv.org/abs/2303.14497

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