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Stein-Weiss type inequality on the upper half space and its applications by Li, Xiang; Shen, Zifei; Squassina, Marco; Yang, Minbo is a scholarly article available to read on EtoBox.

What is Stein-Weiss type inequality on the upper half space and its applications about?

In this paper, we establish some Stein-Weiss type inequalities with general kernels on the upper half space and study the existence of extremal functions for this inequality with the optimal constant. Furthermore, we also investigate the regularity, asymptotic estimates, symmetry and non-existence results of the positive solutions of the corresponding Euler-Lagrange integral system. As an application, we finally derive some Liouville type results for the Hartree type equations in the half space.

Author

Li, Xiang; Shen, Zifei; Squassina, Marco; Yang, Minbo

Published

2023

Language

EN