Existence of positive solutions for Dirichlet problems of some singular elliptic equations
| dc.contributor.author | Jin, Zhiren | |
| dc.date.accessioned | 2020-11-23T19:02:30Z | |
| dc.date.available | 2020-11-23T19:02:30Z | |
| dc.date.issued | 2003-04-29 | |
| dc.description.abstract | When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation. The proof is based on a super and sub-solution method. A super solution is constructed by Perron's method together with a family of auxiliary functions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Jin, Z. (2003). Existence of positive solutions for Dirichlet problems of some singular elliptic equations. <i>Electronic Journal of Differential Equations, 2003</i>(49), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12989 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Elliptic boundary value problems | |
| dc.subject | Positive solutions | |
| dc.subject | Singular semilinear equations | |
| dc.subject | Singular semilinear equations | |
| dc.subject | Perron's method | |
| dc.subject | Super solutions | |
| dc.title | Existence of positive solutions for Dirichlet problems of some singular elliptic equations | |
| dc.type | Article |