Harnack inequality for quasilinear elliptic equations with (p,q) growth conditions and absorption lower order term
| dc.contributor.author | Buryachenko, Kateryna | |
| dc.date.accessioned | 2022-01-31T19:04:12Z | |
| dc.date.available | 2022-01-31T19:04:12Z | |
| dc.date.issued | 2018-04-16 | |
| dc.description.abstract | In this article we study the quasilinear elliptic equation with absorption lower term -div (g(|∇u|) ∇u/|∇u|) + ƒ(u) = 0, u ≥ 0. Despite of the lack of comparison principle, we prove a priori estimate of Keller-Osserman type. Particularly, under some natural assumptions on the functions g, ƒ for nonnegative solutions we prove an estimate of the form ∫0u(x) ƒ(s) ds ≤ c u(x)/r g(u(x)/r), x ∈ Ω, B8r(x) ⊂ Ω, with constant c, independent on u(x). Using this estimate we give a simple proof of the Harnack inequality. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Buryachenko, K. (2018). Harnack inequality for quasilinear elliptic equations with (p,q) growth conditions and absorption lower order term. <i>Electronic Journal of Differential Equations, 2018</i>(91), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15258 | |
| 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 | Harnack inequality | |
| dc.subject | Quasilinear elliptic equation | |
| dc.subject | Keller-Osserman type estimate | |
| dc.subject | Absorption lower term | |
| dc.title | Harnack inequality for quasilinear elliptic equations with (p,q) growth conditions and absorption lower order term | |
| dc.type | Article |