Entropy solutions to noncoercive nonlinear elliptic equations with measure data
| dc.contributor.author | Huang, Shuibo | |
| dc.contributor.author | Su, Tong | |
| dc.contributor.author | Du, Xinsheng | |
| dc.contributor.author | Zhang, Xinqiu | |
| dc.date.accessioned | 2021-12-01T20:54:21Z | |
| dc.date.available | 2021-12-01T20:54:21Z | |
| dc.date.issued | 2019-08-05 | |
| dc.description.abstract | Let Ω ⊆ ℝN be a bounded domain. In this article, we investigate the existence of entropy solutions to the nonlinear elliptic problem -div (|∇u|(p-2) ∇u + c(x)uγ / (1 + |u|)θ(p-1) + b(x)|∇u|λ / (1 + |u|θ(p-1) = μ, x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where μ is a diffuse measure with bounded variation on Ω, 0 ≤ θ < 1 is a positive constants, 1 < p < N, 0 < γ ≤ p - 1, 0 < λ ≤ p - 1, c(x) and b(x) belong to appropriate Lorentz spaces. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Huang, S., Su, T., Du, X., & Zhang, X. (2019). Entropy solutions to noncoercive nonlinear elliptic equations with measure data. <i>Electronic Journal of Differential Equations, 2019</i>(97), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14988 | |
| 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Entropy solution | |
| dc.subject | Noncoercive | |
| dc.subject | Nonlinear elliptic equations | |
| dc.subject | Measure data | |
| dc.title | Entropy solutions to noncoercive nonlinear elliptic equations with measure data | en_US |
| dc.type | Article |