Multiplicity of solutions for a class of elliptic systems in ℝN

Simple item page
dc.contributor.authorFigueiredo, Giovany M.
dc.date.accessioned2021-07-19T17:08:17Z
dc.date.available2021-07-19T17:08:17Z
dc.date.issued2006-07-12
dc.description.abstractThis article concerns the multiplicity of solutions for the system of equations -Δu + V(∊x)u = α|u|α-2 u|v|β, -Δv + V(∊x)v = β|u|α|v|β-2v in ℝN, where V is a positive potential. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using minimax theorems and Ljusternik-Schnirelmann theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFigueiredo, G. M. (2006). Multiplicity of solutions for a class of elliptic systems in ℝN. <i>Electronic Journal of Differential Equations, 2006</i>(76), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13949
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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectVariational methods
dc.subjectPalais-Smale condition
dc.subjectLjusternik-Schnirelmann theory
dc.titleMultiplicity of solutions for a class of elliptic systems in ℝN
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
figueiredo.pdf
Size:
254.54 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