Existence of solutions to biharmonic equations with sign-changing coefficients
| dc.contributor.author | Saiedinezhad, Somayeh | |
| dc.date.accessioned | 2022-02-02T15:10:49Z | |
| dc.date.available | 2022-02-02T15:10:49Z | |
| dc.date.issued | 2018-04-28 | |
| dc.description.abstract | In this article, we study the existence of solutions for the semi-linear elliptic equation ∆2u - α(x)∆u = b(x)|u|p-2u with Navier boundary condition u = ∆u = 0 on ∂Ω, where Ω is a bounded domain with smooth boundary and 2 < p < 2*. We consider two different assumptions on the potentials α and b, including the case of sign-changing weights. The approach is based on the Nehari manifold with variational arguments about the corresponding fibering map, which ensures the multiple results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Saiedinezhad, S. (2018). Existence of solutions to biharmonic equations with sign-changing coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(99), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15266 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Bi-Laplacian operator | |
| dc.subject | Weak solution | |
| dc.subject | Nehari manifold | |
| dc.subject | Fibering map | |
| dc.title | Existence of solutions to biharmonic equations with sign-changing coefficients | |
| dc.type | Article |