Existence of solutions to superlinear p-Laplace equations without Ambrosetti-Rabinowizt condition
| dc.contributor.author | Duc, Duong Minh | |
| dc.date.accessioned | 2022-08-08T17:28:27Z | |
| dc.date.available | 2022-08-08T17:28:27Z | |
| dc.date.issued | 2017-10-10 | |
| dc.description.abstract | We study the existence of non-trivial weak solutions in W1,p0(Ω) of the super-linear Dirichlet problem -div(|∇u|p-2∇u) = ƒ(x, u) in Ω, u = 0 on ∂Ω, where ƒ satisfies the condition |ƒ(x, t)| ≤ |⍵(x)t|r-1 + b(x) ∀(x, t) ∈ Ω x ℝ, where r ∈ (p, Np/N-p), b ∈ L r/r-1 (Ω) and |⍵|r-1 may be non-integrable on Ω. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Duc, D. M. (2017). Existence of solutions to superlinear p-Laplace equations without Ambrosetti-Rabinowizt condition. <i>Electronic Journal of Differential Equations, 2017</i>(251), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16045 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nemytskii operators | |
| dc.subject | p-Laplacian | |
| dc.subject | Multiplicity of solutions | |
| dc.subject | Mountain-pass theorem | |
| dc.title | Existence of solutions to superlinear p-Laplace equations without Ambrosetti-Rabinowizt condition | |
| dc.type | Article |