Differential and Integral Equations

Vitali convergence theorem and Palais-Smale condition

Min-Chun Chen, Huei-li Lin, and Hwai-Chiuan Wang

Full-text: Open access

Abstract

In this article, we present several new results for Palais--Smale sequences. Consequently, we unify the Vitali convergence theorem and many main concepts in the variational methods by Lions, Lien--Tzeng--Wang, del Pino--Felmer and Chabrowski.

Article information

Source
Differential Integral Equations, Volume 15, Number 6 (2002), 641-656.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060809

Mathematical Reviews number (MathSciNet)
MR1893839

Zentralblatt MATH identifier
1161.35355

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations
Secondary: 35J25: Boundary value problems for second-order elliptic equations 35J60: Nonlinear elliptic equations 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)

Citation

Chen, Min-Chun; Lin, Huei-li; Wang, Hwai-Chiuan. Vitali convergence theorem and Palais-Smale condition. Differential Integral Equations 15 (2002), no. 6, 641--656. https://projecteuclid.org/euclid.die/1356060809


Export citation