Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator

Simple item page
dc.contributor.authorMassa, Eugenio
dc.date.accessioned2021-04-26T19:15:35Z
dc.date.available2021-04-26T19:15:35Z
dc.date.issued2004-08-07
dc.description.abstractIn the first part of this paper, we study a nonlinear equation with the multi-Laplacian operator, where the nonlinearity intersects all but the first eigenvalue. It is proved that under certain conditions, involving in particular a relation between the spatial dimension and the order of the problem, this equation is solvable for arbitrary forcing terms. The proof uses a generalized Mountain Pass theorem. In the second part, we analyze the relationship between the validity of the above result, the first nontrivial curve of the Fucik spectrum, and a uniform anti-maximum principle for the considered operator.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMassa, E. (2004). Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator. <i>Electronic Journal of Differential Equations, 2004</i>(97), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13451
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHigher order elliptic boundary value problem
dc.subjectSuperlinear equation
dc.subjectMountain Pass Theorem
dc.subjectAnti-maximum principle
dc.titleSuperlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
massa.pdf
Size:
321.21 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