Further applications of the Nehari manifold method to functionals in C1(X∖{0})

IF 1.3 2区 数学 Q1 MATHEMATICS
Edir Júnior Ferreira Leite , Humberto Ramos Quoirin , Kaye Silva
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引用次数: 0

Abstract

We proceed with the study of the Nehari manifold method for functionals in C1(X{0}), where X is a Banach space. We deal now with functionals whose fibering maps have two critical points (a minimizer followed by a maximizer). Under some additional conditions we show that the Nehari manifold method provides us with the ground state level and two sequences of critical values for these functionals. These results are applied to the class of prescribed energy problems as well as to the concave–convex problem for the affine p-Laplacian operator.
Nehari流形法在C1(X ×{0})泛函中的进一步应用
我们继续研究C1(X ×{0})中泛函的Nehari流形方法,其中X是一个Banach空间。我们现在处理的函数的纤维映射有两个临界点(一个是最小化点,一个是最大化点)。在一些附加条件下,我们证明了Nehari流形方法为我们提供了这些泛函的基态水平和两个临界值序列。这些结果应用于一类规定能量问题以及仿射p-拉普拉斯算子的凹凸问题。
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来源期刊
CiteScore
3.30
自引率
0.00%
发文量
265
审稿时长
60 days
期刊介绍: Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.
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