Szczegóły publikacji
Opis bibliograficzny
Blow-up solutions for partial laplace equations with Keller–Osserman condition / Ahmed Mohammed, Vicenţiu D. RĂDULESCU, Antonio Vitolo // Journal d'Analyse Mathématique ; ISSN 0021-7670 . — 2026 — vol. 158 iss. 2, s. 483–522. — Bibliogr. s. 519-522, Abstr. — Publikacja dostępna online od: 2026-02-24. — V. D. Rǎdulescu - dod. afiliacje: Baku Engineering University, Baku, Azerbaijan ; Brno University of Technology, Brno, Czech Republic ; Institute of Mathematics “Simion Stoilow” of the Romanian Academy
Autorzy (3)
- Mohammed Ahmed
- AGHRǎdulescu Vicenţiu
- Vitolo Antonio
Dane bibliometryczne
| ID BaDAP | 168336 |
|---|---|
| Data dodania do BaDAP | 2026-07-08 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11854-026-0432-5 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal d'Analyse Mathématique (Jerusalem) |
Abstract
We investigate the existence, asymptotic boundary behavior and uniqueness of viscosity solutions u ∈ C0(Ω) of equations in Ω ⊂ ℝn such that u(x) → ∞ as x → ∂Ω. Such solutions are referred to as large or boundary blow-up solutions. Here, Ω is a smooth bounded domain, is a weighted partial trace operator, f is a non-decreasing function that satisfies the Keller–Osserman condition, and h is a continuous function in Ω. The main difficulty in the investigation rests on the possibility that is very degenerate elliptic, and h is unbounded as well as sign-changing in Ω. To the best of our knowledge, large solutions to equations involving partial trace operators have not been investigated before.
