A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian
| dc.contributor.author | Benalili, Mohamed | |
| dc.contributor.author | Youssef, Maliki | |
| dc.date.accessioned | 2021-01-27T21:01:50Z | |
| dc.date.available | 2021-01-27T21:01:50Z | |
| dc.date.issued | 2003-10-21 | |
| dc.description.abstract | We introduce a reduction method for proving the existence of solutions to elliptic equations involving the p-Laplacian operator. The existence of solutions is implied by the existence of a positive essentially weak subsolution on a manifold and the existence of a positive supersolution on each compact domain of this manifold. The existence and nonexistence of positive supersolutions is given by the sign of the first eigenvalue of a nonlinear operator. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Benalili, M., & Maliki, Y. (2003). A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian. <i>Electronic Journal of Differential Equations, 2003</i>(106), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13157 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Analysis on manifolds | |
| dc.subject | Semi-linear elliptic PDE | |
| dc.title | A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian | |
| dc.type | Article |