Minimax Theory and its Applications 07 (2022), No. 2, 381--408
Copyright Heldermann Verlag 2022
A Local Energy Estimate for a Class of Strongly Indefinite Functionals
Tian Xu
Center for Applied Mathematics, Tianjin University, Tianjin, P. R. China
xutian@amss.ac.cn
Based on the generalized method of Nehari manifold, we present a unified approach for a refined local energy estimate for a class of strongly indefinite functionals. We give examples where this energy estimate is applied to the problems of describing qualitative properties for the linking levels.
Keywords: Strongly indefinite functional, Nehari manifold technique.
MSC: 53C27; 35R01.
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