Szczegóły publikacji

Opis bibliograficzny

Anisotropic nonlocal double phase problems with logarithmic perturbation: maximum principle and qualitative analysis of solutions / Shengda Zeng, Yasi Lu, Vicenţiu D. RĂDULESCU, Patrick Winkert // Partial Differential Equations and Applications ; ISSN  2662-2963 . — 2026 — vol. 7 iss. 1 art. no. 11, s. 1-46. — Bibliogr. s. 43–45, Abstr. — Publikacja dostępna online od: 2026-02-05. — V. Rǎdulescu - dod. afiliacje: Brno University of Technology, Czech Republic; Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania; Baku Engineering University, Azerbaijan

Autorzy (4)

Słowa kluczowe

localization methodmaximum principlea priori boundsvariational methodsde Giorgi’s iterationfractional logarithmic double phase operatormultivalued problem

Dane bibliometryczne

ID BaDAP166062
Data dodania do BaDAP2026-03-10
Tekst źródłowyURL
DOI10.1007/s42985-026-00373-2
Rok publikacji2026
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Creative Commons
Czasopismo/seriaPartial Differential Equations and Applications

Abstract

In this paper, we study multivalued nonlocal elliptic problems driven by the fractional double phase operator with variable exponents and ω-logarithmic perturbation formulated by (Formula presented.) We are going to establish maximum principles for the fractional perturbed double phase operator and show the boundedness of weak solutions to the above problem. Finally, under appropriate assumptions we discuss the existence of infinitely many small (non-negative) weak solutions to a single-valued nonlocal double phase problem.

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Boundedness of weak solutions to multivalued anisotropic double phase problems with logarithmic perturbation / Shengda Zeng, Yasi Lu, Vicenţiu D. RǍDULESCU, Patrick Winkert // Communications in Mathematical Sciences ; ISSN  1539-6746 . — 2026 — vol. 24 no. 5, s. 1335-1372. — Bibliogr., Abstr. — Publikacja dostępna online od: 2026-05-04. — V. Rădulescu - dod. afiliacja: Brno University of Technology, Faculty of Electrical Engineering and Communication, Czech Republic; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania; Scientific Research Center, Baku Engineering University, Azerbaijan
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#167747Data dodania: 11.6.2026
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