Strong solutions for singular Dirichlet elliptic problems
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 non...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Dirichlet probléma, Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.40 |
| Online Access: | http://acta.bibl.u-szeged.hu/76541 |
| LEADER | 01386nas a2200229 i 4500 | ||
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| 001 | acta76541 | ||
| 005 | 20221108083025.0 | ||
| 008 | 220908s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.40 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Godoy Tomas | |
| 245 | 1 | 0 | |a Strong solutions for singular Dirichlet elliptic problems |h [elektronikus dokumentum] / |c Godoy Tomas |
| 260 | |c 2022 | ||
| 300 | |a 20 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Dirichlet probléma, Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/76541/1/ejqtde_2022_040.pdf |z Dokumentum-elérés |