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arXiv · 2406.17350

Attainability and criticality for multipolar Rellich inequality

Yongyang Jin·Shoufeng Shen·Li Tang
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Abstract

In this paper we obtain optimal multipolar Rellich inequality for biharmonic Schrodinger operator with positive multi-singular potentials. Moreover, we prove the attainability of the best constant and the criticality of the biharmonic Schrodinger operator.

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Yongyang Jin, Shoufeng Shen, Li Tang. 2024-06-25. Attainability and criticality for multipolar Rellich inequality. https://arxiv.org/abs/2406.17350

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