Some Existence and Regularity Results for Unilateral Problems with Degenerate Coercivity
| dc.contributor.author | Naidji, Ali | |
| dc.contributor.author | Supervisor: Hellal, Abdelaziz | |
| dc.date.accessioned | 2023-07-02T08:42:54Z | |
| dc.date.available | 2023-07-02T08:42:54Z | |
| dc.date.issued | 2023-06-10 | |
| dc.description.abstract | In this work we study the existence and regularity of the solutions of unilateral problems 8>><>>: u ‚ 0, a.e.in ›, hAu,u ¡ vi • R› f (u ¡ v), 8v 2 H1 0(›),v ‚ 0, a.e.in ›, (1) Here › is a bounded, open subset of RN , with N ¨ 2, and Au ˘ ¡di v(a(x,u)Du) with a(x,s) : ›£R ! R is a Carathéodory function, satisfying the following conditions: fi (1¯jsj)θ • a(x,s) • fl. (2) for some real number θ such that. 0 • θ ˙ 1 (3) for almost every x 2 ›, for every s 2 R, where fi and fl are positive constants. The objective of this contribution is to study the existence and regularity of the solutions of unilateral problems (1) associated to A under assumptions (2)-(3) and with data f belonging to various Lebesgue space Lm(›) , for some m ¨ 1. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/39826 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of M'sila | en_US |
| dc.subject | Unilateral Problems, Degenerate Coercivity, Existence, Regularity. | en_US |
| dc.title | Some Existence and Regularity Results for Unilateral Problems with Degenerate Coercivity | en_US |
| dc.type | Thesis | en_US |
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