Existence and multiplicity of solutions for anisotropic elliptic problems with variable exponent and nonlinear Robin boundary conditions Brahim Ella
| dc.contributor.author | Ellahyani, Brahim | |
| dc.contributor.author | El Hachimi, Abderrahmane | |
| dc.date.accessioned | 2022-06-10T14:58:15Z | |
| dc.date.available | 2022-06-10T14:58:15Z | |
| dc.date.issued | 2017-07-24 | |
| dc.description.abstract | This article presents sufficient conditions for the existence of solutions of the anisotropic quasilinear elliptic equation with variable exponent and nonlinear Robin boundary conditions, -ΣNi=1</sub> ∂/∂x (|∂u/∂xi|pi(x)-2 ∂u/∂xi) + ΣNi=1 |u|pi(x)-2 u + λ|u|m(x)-2 u = γg(x, u) in Ω, ΣNi=1 |∂u/∂xi|pi(x)-2 ∂u/∂xi vi = μ|u|q(x)-2 u on ∂Ω. Under appropriate assumptions on the data, we prove some existence and multiplicity results. The methods are based on Mountain Pass and Fountain theorems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ellahyani, B., & El Hachimi, A. (2017). Existence and multiplicity of solutions for anisotropic elliptic problems with variable exponent and nonlinear Robin boundary conditions Brahim Ella. Electronic Journal of Differential Equations, 2017(188), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15882 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Anisotropic elliptic problems | |
| dc.subject | Robin boundary conditions existence and multiplicity | |
| dc.title | Existence and multiplicity of solutions for anisotropic elliptic problems with variable exponent and nonlinear Robin boundary conditions Brahim Ella | |
| dc.type | Article |