Convexity of level sets for solutions to nonlinear elliptic problems in convex rings
| dc.contributor.author | Cuoghi, Paola | |
| dc.contributor.author | Salani, Paolo | |
| dc.date.accessioned | 2021-07-20T18:44:08Z | |
| dc.date.available | 2021-07-20T18:44:08Z | |
| dc.date.issued | 2006-10-11 | |
| dc.description.abstract | We find suitable assumptions for the quasi-concave envelope u* of a solution (or a subsolution) u of an elliptic equation F(x, u, ∇u, D2u) = 0 (possibly fully nonlinear) to be a viscosity subsolution of the same equation. We apply this result to study the convexity of level sets of solutions to elliptic Dirichlet problems in a convex ring Ω = Ω0 \ Ω‾1. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cuoghi, P., & Salani, P. (2006). Convexity of level sets for solutions to nonlinear elliptic problems in convex rings. <i>Electronic Journal of Differential Equations, 2006</i>(124), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13997 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Elliptic equations | |
| dc.subject | Convexity of level sets | |
| dc.subject | Quasi-concave envelope | |
| dc.title | Convexity of level sets for solutions to nonlinear elliptic problems in convex rings | |
| dc.type | Article |