Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
| dc.contributor.author | Youssfi, Ahmed | |
| dc.date.accessioned | 2021-08-06T13:08:22Z | |
| dc.date.available | 2021-08-06T13:08:22Z | |
| dc.date.issued | 2007-04-10 | |
| dc.description.abstract | We prove the existence of bounded solutions for the nonlinear elliptic problem -div α(x, u, ∇u) = ƒ in Ω, with u ∈ W1 0 LM(Ω) ∩ L∞(Ω), where α(x, s, ξ) ∙ ξ ≥ M̄-1 M(h(|s|))M(|ξ), and h : ℝ+ →]0, 1] is a continuous monotone decreasing function with unbounded primitive. As regards the N-function M, no Δ2-condition is needed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Youssfi, A. (2007). Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces. <i>Electronic Journal of Differential Equations, 2007</i>(54), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14215 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Orlicz-Sobolev spaces | |
| dc.subject | Degenerate coercivity | |
| dc.subject | L-infity-estimates | |
| dc.subject | Rearrangements | |
| dc.title | Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces | |
| dc.type | Article |