Godoy Tomas: Strong solutions for singular Dirichlet elliptic problems. (2022)
![[thumbnail of ejqtde_2022_040.pdf]](http://acta.bibl.u-szeged.hu/style/images/fileicons/full.png) |
Teljes mű
ejqtde_2022_040.pdf Download (546kB) |
Abstract
We prove an existence result for strong solutions u ∈ W2,q (Ω) of singular semilinear elliptic problems of the form −∆u = g (·, u) in Ω, u = τ on ∂Ω, where 1 < q < ∞, Ω is a bounded domain in Rn with C 2 boundary, 0 ≤ τ ∈ W 2− 1 q ,q and with g : Ω × (0, ∞) → [0, ∞) belonging to a class of nonnegative Carathéodory functions, which may be singular at s = 0 and also at x ∈ S for some suitable subsets S ⊂ Ω. In addition, we give results concerning the uniqueness and regularity of the solutions. A related problem on punctured domains is also considered.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 40 |
| ISSN: | 1417-3875 |
| Number of Pages: | 20 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2022.1.40 |
| Uncontrolled Keywords: | Dirichlet probléma, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 17-20. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. Sep. 08. 15:57 |
| Last Modified: | 2022. Nov. 08. 08:30 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/76541 |
Actions (login required)
 |
View Item |
