Open Access
2002 ON THE COMPACTNESS AND THE MINIMIZATION
Hwai-chiuan Wang
Taiwanese J. Math. 6(4): 441-464 (2002). DOI: 10.11650/twjm/1500407470

Abstract

In this article, we present various compactness and minimizations from very classical theorems such as Bolzano–Weierstrass theorem to modern theorems such as Palais–Smale conditions. Then apply them to assert the existence and multiplicity of solutions of partial differential equations.

Citation

Download Citation

Hwai-chiuan Wang. "ON THE COMPACTNESS AND THE MINIMIZATION." Taiwanese J. Math. 6 (4) 441 - 464, 2002. https://doi.org/10.11650/twjm/1500407470

Information

Published: 2002
First available in Project Euclid: 18 July 2017

zbMATH: 1030.35033
MathSciNet: MR1937471
Digital Object Identifier: 10.11650/twjm/1500407470

Subjects:
Primary: 35J20 , 35J25

Keywords: compactness , minimizer , Palais--Smale condition , positive solution

Rights: Copyright © 2002 The Mathematical Society of the Republic of China

Vol.6 • No. 4 • 2002
Back to Top