Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent
| dc.contributor.author | Cheng, Yuanji | |
| dc.date.accessioned | 2021-07-20T21:04:40Z | |
| dc.date.available | 2021-07-20T21:04:40Z | |
| dc.date.issued | 2006-10-25 | |
| dc.description.abstract | In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent -Δu = λu - αup + u2* -1, u > 0, in Ω, u = 0, on ∂Ω. where Ω ⊂ ℝn, n ≥ 3 is a bounded C2-domain λ > λ1, 1 < p < 2* - 1 = n+2/n-2 and α > 0 is a bifurcation parameter. Brezis and Nirenberg [2] showed that a lower order (non-negative) perturbation can contribute to regain the compactness and whence yields existence of solutions. We study the equation with an indefinite perturbation and prove a bifurcation result of two solutions for this equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cheng, Y. (2006). Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent. <i>Electronic Journal of Differential Equations, 2006</i>(135), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14008 | |
| 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 | Critical Sobolev exponent | |
| dc.subject | Positive solutions | |
| dc.subject | Bifurcation | |
| dc.title | Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent | en_US |
| dc.type | Article |