Existence and nonexistence of nontrivial solutions for Choquard type equations

Simple item page
dc.contributor.authorWang, Tao
dc.date.accessioned2023-05-25T13:10:16Z
dc.date.available2023-05-25T13:10:16Z
dc.date.issued2016-01-04
dc.description.abstractIn this article, we consider the nonlocal problem -Δu + u = q(x) (∫ℝN q(y)|u(y)|p/|x-y|N-α dy) |u|p-2u, x ∈ ℝN, where N ≥ 3, α ∈ (0, N), N+α/N < p < N+α/N-2 and q(x) is a given potential. Under suitable assumptions on q(x), we prove the existence and nonexistence of nontrivial solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, T. (2016). Existence and nonexistence of nontrivial solutions for Choquard type equations. <i>Electronic Journal of Differential Equations, 2016</i>(03), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16875
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectChoquard equation
dc.subjectNonlocal nonlinearities
dc.subjectVariational methods
dc.titleExistence and nonexistence of nontrivial solutions for Choquard type equationsen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
wang.pdf
Size:
303.02 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations