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.identifier.citation | Benalili, M., & Maliki, Y. (2003). A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian. Electronic Journal of Differential Equations, 2003(106), pp. 1-10. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13157 | |
| 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| 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 | en_US |
| dc.subject | Semi-linear elliptic PDE | en_US |
| dc.title | A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
