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Ground state solution to the biharmonic equation.

Authors :
Feng, Zhaosheng
Su, Yu
Source :
Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Feb2022, Vol. 73 Issue 1, p1-24. 24p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BIHARMONIC equations
*CONTINUUM mechanics
*ELASTIC plates & shells
*VISCOUS flow
*FLUID flow

Details

Language :
English
ISSN :
00442275
Volume :
73
Issue :
1
Database :
Academic Search Index
Journal :
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Publication Type :
Academic Journal
Accession number :
154342287
Full Text :
https://doi.org/10.1007/s00033-021-01643-2
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