Ground state solution to the biharmonic equation

Authors

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

Document Type

Article

Publication Date

2022

Abstract

The biharmonic equation arises in areas of continuum mechanics, including mechanics of elastic plates and the slow flow of viscous fluids. In this paper, we make an effort to establish the generalized versions of Lions-type theorem under various conditions and then apply them to study the existence of ground state solutions for the biharmonic equation.

Comments

Copyright © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG

https://rdcu.be/c51vs

Recommended Citation

Feng, Z., Su, Y. Ground state solution to the biharmonic equation. Z. Angew. Math. Phys. 73, 15 (2022). https://doi.org/10.1007/s00033-021-01643-2

Publication Title

Z. Angew. Math. Phys.

DOI

10.1007/s00033-021-01643-2