Removable Singular Sets of Fully Nonlinear Elliptic Equations
| dc.contributor.author | Wang, Lihe | |
| dc.contributor.author | Zhu, Ning | |
| dc.date.accessioned | 2019-11-22T18:42:39Z | |
| dc.date.available | 2019-11-22T18:42:39Z | |
| dc.date.issued | 1999-02-17 | |
| dc.description.abstract | In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that F(D2u,x) = ƒ(x) x ∈ Ω, u(x) = g(x) x ∈ ∂Ω has a solution u in C2(Ω) ∩ C(Ω¯), and F(D2v(x), x) = ƒ(x) x ∈ Ω\S v(x) = g(x) x ∈ ∂Ω has a solution v in C2(Ω\S) ∩ Lip (Ω) ∩ C (Ω¯). We prove that under certain conditions on S and v, the singular set S is removable; i.e., u = v. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 5 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, L., & Zhu, N. (1999). Removable singular sets of fully nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 1999</i>(04), pp. 1-5. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8882 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlinear PDE | |
| dc.subject | Monge-Ampere equation | |
| dc.subject | Removable singularity | |
| dc.title | Removable Singular Sets of Fully Nonlinear Elliptic Equations | |
| dc.type | Article |