Existence of positive solutions for two nonlinear eigenvalue problems
dc.contributor.author | Rhouma, Nedra BelHaj | |
dc.contributor.author | Maatoug, Lamia | |
dc.date.accessioned | 2020-09-14T20:00:31Z | |
dc.date.available | 2020-09-14T20:00:31Z | |
dc.date.issued | 2003-02-15 | |
dc.description.abstract | We study the existence of positive solutions for the following two nonlinear eigenvalue problems ∆u - g(., u)u + λƒ(.,u) = 0, ∆u - g(., u)u + λƒ(., u) = 0, in a bounded regular domain in ℝ2 with u = 0 on the boundary. We assume that ƒ and g are in Kato class of functions. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 16 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Rhouma, N. B., & Maatoug, L. (2003). Existence of positive solutions for two nonlinear eigenvalue problems. Electronic Journal of Differential Equations, 2003(16), pp. 1-16. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/12607 | |
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 | Eigenvalue | |
dc.subject | Kato class | |
dc.subject | Green's function | |
dc.subject | Superharmonic function | |
dc.subject | Shauder fixed point theorem | |
dc.subject | Maximum principle | |
dc.title | Existence of positive solutions for two nonlinear eigenvalue problems | |
dc.type | Article |