Second-order boundary estimate for the solution to infinity Laplace equations
| dc.contributor.author | Mi, Ling | |
| dc.date.accessioned | 2022-06-08T21:22:43Z | |
| dc.date.available | 2022-06-08T21:22:43Z | |
| dc.date.issued | 2017-07-24 | |
| dc.description.abstract | In this article, we establish a second-order estimate for the solutions to the infinity Laplace equation -∆∞u = b(x)g(u), u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded domain in ℝN, g ∈ C1 ((0, ∞)), g is decreasing on (0, ∞) with lim s→0+ g(s) = ∞ and g is normalized regularly varying at zero with index -γ (γ > 1), b ∈ C(Ω̅) is positive in Ω, may be vanishing on the boundary. Our analysis is based on Karamata regular variation theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mi, L. (2017). Second-order boundary estimate for the solution to infinity Laplace equations. Electronic Journal of Differential Equations, 2017(187), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15881 | |
| 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 | Infinity Laplace equation | |
| dc.subject | Second order estimate | |
| dc.subject | Karamata regular variation theory | |
| dc.subject | Comparison functions | |
| dc.title | Second-order boundary estimate for the solution to infinity Laplace equations | |
| dc.type | Article |