A fibering map approach to a semilinear elliptic boundary value problem

dc.contributor.authorBrown, Kenneth J.
dc.contributor.authorWu, Tsung-fang
dc.date.accessioned2021-08-06T19:48:00Z
dc.date.available2021-08-06T19:48:00Z
dc.date.issued2007-05-10
dc.description.abstractWe prove the existence of at least two positive solutions for the semilinear elliptic boundary-value problem -Δu(x) = λα(x)uq + b(x)up for x ∈ Ω; u(x) = 0 for x ∈ ∂Ω on a bounded region Ω by using the Nehari manifold and the fibering maps associated with the Euler functional for the problem. We show how knowledge of the fibering maps for the problem leads to very easy existence proofs.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBrown, K. J., & Wu, T. F. (2007). A fibering map approach to a semilinear elliptic boundary value problem. <i>Electronic Journal of Differential Equations, 2007</i>(69), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14231
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectSemilinear elliptic boundary value problem
dc.subjectVariational methods
dc.subjectNehari manifold
dc.subjectFibering map
dc.titleA fibering map approach to a semilinear elliptic boundary value problem
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
brown.pdf
Size:
211.43 KB
Format:
Adobe Portable Document Format
Description:

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: