Vitali convergence theorem and Palais-Smale condition

Min-Chun Chen; Huei-li Lin; Hwai-Chiuan Wang

doi:die/1356060809

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2002 Vitali convergence theorem and Palais-Smale condition

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

Differential Integral Equations 15(6): 641-656 (2002).

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.

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Min-Chun Chen. Huei-li Lin. Hwai-Chiuan Wang. "Vitali convergence theorem and Palais-Smale condition." Differential Integral Equations 15 (6) 641 - 656, 2002.