Fractional Sobolev embedding with radial potential

Authors

Yu Su
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

12-2022

Abstract

We present some embedding results of fractional Ds,2(RN) space with radial potential. To overcome the difficulty of non-compactness, we obtain the Lions-type theorems by means of the refined Sobolev inequality with the Morrey norm. Then we apply the obtained results to study the existence of ground state solution for fractional equations with radial potential.

Comments

Original published version available at https://doi.org/10.1016/j.jde.2022.08.030

Recommended Citation

Su, Yu, and Zhaosheng Feng. "Fractional Sobolev embedding with radial potential." Journal of Differential Equations 340 (2022): 1-44. https://doi.org/10.1016/j.jde.2022.08.030

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Differential Equations