Szczegóły publikacji
Opis bibliograficzny
Fractional logarithmic double phase problems: qualitative analysis in the anisotropic case / Shengda Zeng, Yasi Lu, Vicenţiu D. RĂDULESCU, Patrick Winkert // SIAM Journal on Mathematical Analysis ; ISSN 0036-1410 . — 2026 — vol. 58 iss. 3, s. 2323–2374. — Bibliogr. s. 2370–2374, Abstr. — Publikacja dostępna online od: 2026-05-06. — V. D. Rǎdulescu - dod. afiliacja: Brno University of Technology, Faculty of Electrical Engineering and Communication, Brno, Czech Republic; Simion Stoilow Institute of Mathematics, Bucharest, Romania; Department of Mathematics, University of Craiova, Craiova, Romania; Scientific Research Center, Baku Engineering University, Baku, Azerbaijan
Autorzy (4)
- Zeng Shengda
- Lu Yasi
- AGHRǎdulescu Vicenţiu
- Winkert Patrick
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 167747 |
|---|---|
| Data dodania do BaDAP | 2026-06-11 |
| DOI | 10.1137/25M1742540 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | SIAM Journal on Mathematical Analysis |
Abstract
This paper is concerned with the study of elliptic differential problems involving fractional variable exponent double phase operators with logarithmic perturbation (-\Delta)s \scrH generated by \scrH(x, y, t) = [tp(x,y) p(x,y) +\mu(x, y) tq(x,y) q(x,y) ] log(e+\alphat). In the first part, we study fractional double phase elliptic inclusions with a generalized multivalued mapping and a maximal monotone operator which is formulated by the convex subdifferential of the indicator function to a convex set. Based on the subsupersolution method along with truncation techniques and nonsmooth analysis we show an existence result and give an application construction such a pair of sub-supersolution. Additionally, under lattice conditions, we establish the compactness and the directedness of the solution set within a pair of suband supersolutions. In the second part, we consider a type of fractional Kirchhoff double phase problems governed by the operator (-\Delta)s\scrH. Applying variational methods, the Poincare'\–Miranda existence theorem together with the quantitative deformation lemma, we prove a multiplicity result which says that the problem has at least a positive solution, a negative solution, and a sign-changing solution.
