Attainability and criticality for multipolar Rellich inequality
Yongyang Jin, Shoufeng Shen, Li Tang
TL;DR
This paper establishes optimal multipolar Rellich inequalities for biharmonic Schrödinger operators with multi-singular potentials, demonstrating the attainability of the best constant and the operator's criticality.
Contribution
It introduces new optimal multipolar Rellich inequalities for biharmonic Schrödinger operators with multi-singular potentials and proves their attainability and criticality.
Findings
Optimal multipolar Rellich inequality established
Attainability of the best constant proven
Criticality of the biharmonic Schrödinger operator demonstrated
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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Taxonomy
TopicsNonlinear Differential Equations Analysis · Mathematical Inequalities and Applications · Probabilistic and Robust Engineering Design