Szczegóły publikacji
Opis bibliograficzny
Multiplicity results for logarithmic double phase problems via Morse theory / Vicenţiu D. RǍDULESCU, Matheus F. Stapenhorst, Patrick Winkert // Bulletin of the London Mathematical Society ; ISSN 0024-6093 . — 2025 — vol. 57 iss. 12, s. 4178–4201. — Bibliogr. s. 4199–4201, Abstr. — Publikacja dostępna online od: 2025-09-12. — V. D. Rǎdulescu - dod. afiliacje: Brno University of Technology, Brno, Czech Republic; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- AGHRǎdulescu Vicenţiu
- Stapenhorst Matheus F.
- Winkert Patrick
Dane bibliometryczne
| ID BaDAP | 165320 |
|---|---|
| Data dodania do BaDAP | 2026-01-12 |
| Tekst źródłowy | URL |
| DOI | 10.1112/blms.70190 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Bulletin of the London Mathematical Society |
Abstract
In this paper, we study elliptic equations of the form (Formula presented.) where (Formula presented.) is the logarithmic double phase operator given by (Formula presented.) (Formula presented.) is Euler's number, (Formula presented.), (Formula presented.), is a bounded domain with Lipschitz boundary (Formula presented.), (Formula presented.), (Formula presented.) with (Formula presented.), (Formula presented.) and (Formula presented.). Under mild assumptions on the nonlinearity (Formula presented.) we prove multiplicity results for the problem above and get two constant sign solutions and another third nontrivial solution. This third solution is obtained by using the theory of critical groups. As a result of independent interest, we show that every weak solution of the problem above is essentially bounded.
