Existence and multiplicity of positive solutions for a singular problem associated to the p-Laplacian operator
| dc.contributor.author | Aranda, Carlos | |
| dc.contributor.author | Godoy, Tomas | |
| dc.date.accessioned | 2021-05-14T19:47:42Z | |
| dc.date.available | 2021-05-14T19:47:42Z | |
| dc.date.issued | 2004-11-16 | |
| dc.description.abstract | Consider the problem -Δpu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0, ∞), Ω is a strictly convex bounded and C2 domain in ℝN with N ≥ 2, and 1 p ≤ 2. Under suitable assumptions on g and h that allow a singularity of g at the origin, we show that for λ positive and small enough the above problem has at least two positive solutions in C(Ω)∩(C1(Ω) and that λ = 0 is a bifurcation point from infinity. The existence of positive solutions for problems of the form -Δpu = K(x)g(u) + λh(u) + ƒ(x) in Ω, u = 0 on ∂Ω is also studied. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Aranda, C., & Godoy, T. (2004). Existence and multiplicity of positive solutions for a singular problem associated to the p-Laplacian operator. <i>Electronic Journal of Differential Equations, 2004</i>(132), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13553 | |
| 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, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Singular problems | |
| dc.subject | p-laplacian operator | |
| dc.subject | Nonlinear eigenvalue problems | |
| dc.title | Existence and multiplicity of positive solutions for a singular problem associated to the p-Laplacian operator | |
| dc.type | Article |