Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation
| dc.contributor.author | Kajikiya, Ryuji | |
| dc.contributor.author | Tanaka, Mieko | |
| dc.contributor.author | Tanaka, Satoshi | |
| dc.date.accessioned | 2022-04-12T13:00:11Z | |
| dc.date.available | 2022-04-12T13:00:11Z | |
| dc.date.issued | 2017-04-21 | |
| dc.description.abstract | In this article, we study the bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of bifurcation diagrams. As a consequence, we prove the existence of multiple positive solutions and show the uniqueness of positive solutions for a bifurcation parameter in a certain range. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 37 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kajikiya, R., Tanaka, M., & Tanaka, S. (2017). Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation. <i>Electronic Journal of Differential Equations, 2017</i>(107), pp. 1-37. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15639 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Bifurcation | |
| dc.subject | Positive solution | |
| dc.subject | (p,q)-Laplace equation | |
| dc.subject | Time map | |
| dc.subject | Multiple solutions | |
| dc.title | Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation | |
| dc.type | Article |