Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the fractional Laplacian equation (−Δ)su+λA(x)u=μu+|u|2*(s)-2u, x∈ℝN, here N>2s, s∈(0,1), 2*(s)=2N/(N-2s) is the critical exponent, and A(x)≥0 is a real potential function.
Employing the variational method we prove the existence of nontrivial solutions for μ small and λ large.
American Psychological Association (APA)
Shen, Zifei& Gao, Fashun. 2013. Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1003170
Modern Language Association (MLA)
Shen, Zifei& Gao, Fashun. Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1003170
American Medical Association (AMA)
Shen, Zifei& Gao, Fashun. Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1003170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1003170
