Global Bifurcation Result for the p-Biharmonic Operator
| dc.contributor.author | Drabek, Pavel | |
| dc.contributor.author | Otani, Mitsuharu | |
| dc.date.accessioned | 2020-02-21T15:26:16Z | |
| dc.date.available | 2020-02-21T15:26:16Z | |
| dc.date.issued | 2001-07-03 | |
| dc.description.abstract | We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with p > 1, and Ω a bounded domain in ℝN with smooth boundary, has principal positive eigenvalue λ1 which is simple and isolated. The corresponding eigenfunction is positive in Ω and satisfies ∂u/∂n < 0 on ∂Ω, ∆u1 < 0 in Ω. We also prove that (λ1, 0) is the point of global bifurcation for associated nonhomogeneous problem. In the case N = 1 we give a description of all eigenvalues and associated eigenfunctions. Every such an eigenvalue is then the point of global bifurcation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Drabek, P., & Otani, M. (2001). Global bifurcation result for the p-biharmonic operator. <i>Electronic Journal of Differential Equations, 2001</i>(48), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9328 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Biharmonic operator | |
| dc.subject | Principal eigenvalue | |
| dc.subject | Global bifurcation | |
| dc.title | Global Bifurcation Result for the p-Biharmonic Operator | en_US |
| dc.type | Article |