Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
| dc.contributor.author | Bai, Yunru | |
| dc.date.accessioned | 2022-02-02T16:07:38Z | |
| dc.date.available | 2022-02-02T16:07:38Z | |
| dc.date.issued | 2018-05-02 | |
| dc.description.abstract | The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth conditions. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bai, Y. (2018). Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient. Electronic Journal of Differential Equations, 2018(101), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15268 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonhomogeneous p-Laplacian operator | |
| dc.subject | Nonlinear regularity | |
| dc.subject | Dirichlet boundary condition | |
| dc.subject | Convection term | |
| dc.subject | Truncation | |
| dc.subject | Leray-Schauder alternative | |
| dc.title | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient | |
| dc.type | Article |