Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity
Joint Authors
Li, Shengjun
Luo, Huxiao
He, Wenfeng
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-18
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u, x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e.
x∈RN.
f has the subcritical growth but higher than Γ(x)uq-2u; however, the nonlinearity f(x,u)-Γ(x)uq-2u may change sign.
If V is coercive, we investigate the existence of ground state solutions for p-Laplacian equation.
American Psychological Association (APA)
Luo, Huxiao& Li, Shengjun& He, Wenfeng. 2018. Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186575
Modern Language Association (MLA)
Luo, Huxiao…[et al.]. Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity. Journal of Function Spaces No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1186575
American Medical Association (AMA)
Luo, Huxiao& Li, Shengjun& He, Wenfeng. Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186575
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186575