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The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a (2p-1)-linear growth nonlinearity.
The quantitative deformation lemma and Non-Nehari manifold method are used in the paper to prove the main results.
Remarkably, we use a new method to verify that Mb≠∅.
The main results of our paper are the existence of the least energy sign-changing solution and its corresponding energy doubling property.
Moreover, we also give the convergence property of the least energy sign-changing solution as the parameter b↘0.
American Psychological Association (APA)
Yao, Jiangyan& Han, Wei. 2019. The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1146359
Modern Language Association (MLA)
Yao, Jiangyan& Han, Wei. The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1146359
American Medical Association (AMA)
Yao, Jiangyan& Han, Wei. The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1146359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146359