Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities
| dc.contributor.author | Meng, Fengjuan | |
| dc.contributor.author | Zhang, Fubao | |
| dc.contributor.author | Zhang, Yuanyuan | |
| dc.date.accessioned | 2021-09-23T15:08:30Z | |
| dc.date.available | 2021-09-23T15:08:30Z | |
| dc.date.issued | 2020-05-19 | |
| dc.description.abstract | In this article, we study the multiplicity of positive solutions for the biharmonic equation of Kirchhoff type involving concave-convex nonlinearities, ∆2u - (α + b ∫ℝN |∇u|2dx) ∆u + V(x)u = λƒ1(x)|u|q-2 u + ƒ2(x)|u|p-2u. Using the Nehari manifold, Ekeland variational principle, and the theory of Lagrange multipliers, we prove that there are at least two positive solutions, one of which is a positive ground state solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Meng, F., Zhang, F., & Zhang, Y. (2020). Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2020</i>(44), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14550 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Biharmonic equation | |
| dc.subject | Ground state solution | |
| dc.subject | Nehari manifold | |
| dc.subject | Concave-convex nonlinearity | |
| dc.title | Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities | |
| dc.type | Article |