Existence of positive solutions for p(x)-Laplacian problems
| dc.contributor.author | Afrouzi, Ghasem Alizadeh | |
| dc.contributor.author | Ghorbani, Horieh | |
| dc.date.accessioned | 2021-08-19T17:44:47Z | |
| dc.date.available | 2021-08-19T17:44:47Z | |
| dc.date.issued | 2007-12-17 | |
| dc.description.abstract | We consider the system of differential equations -Δp(x)u = λ[g(x)α(u) + ƒ(v)] in Ω -Δq(x)v = λ[g(x)b(v) + h(u)] in Ω u = v = 0 on ∂Ω where p(x) ∈ C1 (ℝN) is a radial symmetric function such that sup |∇p(x)| < ∞, 1 < inf p(x) ≤ sup p(x) < ∞, and where -Δp(x)u = -div |∇u|p(x)-2 ∇u which is called the p(x)-Laplacian. We discuss the existence of positive solution via sub-super-solutions without assuming sign conditions on ƒ(0), h(0). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Afrouzi, G. A., & Ghorbani, H. (2007). Existence of positive solutions for p(x)-Laplacian problems. <i>Electronic Journal of Differential Equations, 2007</i>(177), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14396 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Positive radial solutions | |
| dc.subject | p(x)-Laplacian problems | |
| dc.subject | Boundary value problems | |
| dc.title | Existence of positive solutions for p(x)-Laplacian problems | |
| dc.type | Article |