Stable solutions to weighted quasilinear problems of Lane-Emden type
| dc.contributor.author | Le, Phuong | |
| dc.contributor.author | Ho, Vu | |
| dc.date.accessioned | 2022-01-26T18:18:33Z | |
| dc.date.available | 2022-01-26T18:18:33Z | |
| dc.date.issued | 2018-03-15 | |
| dc.description.abstract | We prove that all entire stable W1,ploc solutions of weighted quasilinear problem -div (w(x)|∇u|p-2 ∇u) = ƒ(x)|u|q-1u must be zero. The result holds true for p ≥ 2 and p - 1 < q < qc(p, N, α, b). Here b > α - p and qc (p, N, α, b) is a new critical exponent, which is infinitely in low dimension and is always larger than the classic critical one, while w, ƒ ∈ L1loc(ℝN) are nonnegative functions such that w(x) ≤ C1|x|α and ƒ(x) ≥ C2|x|b for large |x|. We also construct an example to show the sharpness of our result. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Le, P., & Ho, V. (2018). Stable solutions to weighted quasilinear problems of Lane-Emden type. <i>Electronic Journal of Differential Equations, 2018</i>(71), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15213 | |
| 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 | Quasilinear problems | |
| dc.subject | Stable solutions | |
| dc.subject | Lane-Emden nonlinearity | |
| dc.subject | Liouville theorems | |
| dc.title | Stable solutions to weighted quasilinear problems of Lane-Emden type | |
| dc.type | Article |