Characterization of a homogeneous Orlicz space
| dc.contributor.author | Arriagada, Waldo | |
| dc.contributor.author | Huentutripay, Jorge | |
| dc.date.accessioned | 2022-03-30T17:03:55Z | |
| dc.date.available | 2022-03-30T17:03:55Z | |
| dc.date.issued | 2017-02-16 | |
| dc.description.abstract | In this article we define and characterize the homogeneous Orlicz space Do1,Φ(ℝN) where Φ : ℝ → [0, +∞) is the N-function generated by an odd, increasing and not-necessarily differentiable homeomorphism φ : ℝ → ℝ. The properties of Do1,Φ(ℝN) are treated in connection with the φ-Laplacian eigenvalue problem -div (φ(|∇u| ∇u/|∇u|) = λ g(⋅)φ(u) in ℝN where λ ∈ ℝ and g : ℝN → ℝ is measurable. We use a classic Lagrange rule to prove that solutions of the φ-Laplace operator exist and are non-negative. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Arriagada, W., & Huentutripay, J. (2017). Characterization of a homogeneous Orlicz space. <i>Electronic Journal of Differential Equations, 2017</i>(49), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15575 | |
| 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 | homogeneous space | |
| dc.subject | Orlicz space | |
| dc.subject | eigenvalue problem | |
| dc.subject | phi-Laplacian | |
| dc.title | Characterization of a homogeneous Orlicz space | |
| dc.type | Article |