Varying domains in a general class of sublinear elliptic problems
| dc.contributor.author | Cano-Casanova, Santiago | |
| dc.contributor.author | Lopez-Gomez, Julian | |
| dc.date.accessioned | 2021-04-23T19:29:46Z | |
| dc.date.available | 2021-04-23T19:29:46Z | |
| dc.date.issued | 2004-05-21 | |
| dc.description.abstract | In this paper we use the linear theory developed in [8] and [9] to show the continuous dependence of the positive solutions of a general class of sublinear elliptic boundary value problems of mixed type with respect to the underlying domain. Our main theorem completes the results of Daners and Dancer [12] -and the references there in-, where the classical Robin problem was dealt with. Besides the fact that we are working with mixed non-classical boundary conditions, it must be mentioned that this paper is considering problems where bifurcation from infinity occurs; now a days, analyzing these general problems, where the coefficients are allowed to vary and eventually vanishing or changing sign, is focusing a great deal of attention -as they give rise to metasolutions (e.g., [20])-. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 41 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cano-Casanova, S., & Lopez-Gomez, J. (2004). Varying domains in a general class of sublinear elliptic problems. <i>Electronic Journal of Differential Equations, 2004</i>(74), pp. 1-41. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13427 | |
| 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Continuous dependence | |
| dc.subject | Positive solutions | |
| dc.subject | Sublineal elliptic problems | |
| dc.subject | Varying domains | |
| dc.subject | Maximum principle | |
| dc.subject | Principal eigenvalue | |
| dc.title | Varying domains in a general class of sublinear elliptic problems | |
| dc.type | Article |