Differential and Integral Equations

Vitali convergence theorem and Palais-Smale condition

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

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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

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

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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.)


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

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