Szczegóły publikacji

Opis bibliograficzny

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

Autorzy (4)

Słowa kluczowe

localization methodmultivalued mixed boundary valueomega logarithmic perturbationde Giorgi iterationboundedness of solutionsdouble phase operator with variable exponents

Dane bibliometryczne

ID BaDAP168227
Data dodania do BaDAP2026-07-07
DOI10.4310/CMS.260505110050
Rok publikacji2026
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaCommunications in Mathematical Sciences

Abstract

In this paper we consider multivalued mixed boundary value problems driven by the variable exponent double phase operator with w-logarithmic perturbation of the form (Formula presented) First, we prove new continuous and compact (trace) embedding results related to the considered Musielak-Orlicz Sobolev space W1.HL. Based on these embedding results, we show the boundedness of solutions to the multivalued mixed boundary problem above by applying De Giorgi's method and localization arguments. Finally, we consider several special cases of the problem above and establish their boundedness results.

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