Liouville-type theorems for stable solutions of singular quasilinear elliptic equations in R^N
| dc.contributor.author | Chen, Caisheng | |
| dc.contributor.author | Song, Hongxue | |
| dc.contributor.author | Yang, Hongwei | |
| dc.date.accessioned | 2022-01-31T14:48:55Z | |
| dc.date.available | 2022-01-31T14:48:55Z | |
| dc.date.issued | 2018-03-22 | |
| dc.description.abstract | We prove a Liouville-type theorem for stable solution of the singular quasilinear elliptic equations -div(|x|-αp |∇u|p-2 ∇u) = ƒ(x)|u|q-1u, in ℝN, -div(|x|-αp |∇u|p-2 ∇v) = ƒ(x)eu, in ℝN where 2 ≤ p < N, -∞ < α < (N - p)/p and the function ƒ(x) is continuous and nonnegative in ℝN \ {0} such that ƒ(x) ≥ c0|x|b as |x| ≥ R0, with b > -p(1 + α) and c0 > 0. The results hold for 1 ≤ p - 1 < q = qc(p, N, α, b) in the first equation, and for 2 ≤ N < q0(p, α, b) in the second equation. Here q0 and qc are exponents, which are always larger than the classical critical ones and depend on the parameters α, b. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, C., Song, H., & Yang, H. (2018). Liouville-type theorems for stable solutions of singular quasilinear elliptic equations in R^N. <i>Electronic Journal of Differential Equations, 2018</i>(81), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15247 | |
| 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 | Singular quasilinear elliptic equation | |
| dc.subject | Stable solutions | |
| dc.subject | Critical exponents | |
| dc.subject | Liouville type theorems | |
| dc.title | Liouville-type theorems for stable solutions of singular quasilinear elliptic equations in R^N | |
| dc.type | Article |