Detail publikace

Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections

ZENG, S. LU, Y. RADULESCU, V.

Originální název

Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In this paper, we investigate a class of variable exponent double phase elliptic inclusion systems involving anisotropic partial differential operators with logarithmic perturbation as well as two fully coupled multivalued terms, one of them is defined in the domain and the other is defined on the boundary, respectively. Firstly, under the suitable coercive conditions, the existence of a weak solution for the double phase elliptic inclusion systems is verified via applying a surjectivity theorem concerning multivalued pseudomonotone operators. Then, when the elliptic inclusion system is considered in non-coercive framework, we employ the sub-supersolution method to establish the existence and compactness results. Finally, we deliver several solvability properties of some special cases with respect to the elliptic inclusion system under consideration via constructing proper sub- and super-solutions.

Klíčová slova

Elliptic inclusion systems; Existence and compactness property; Multivalued convection term; Subsolution and supersolution; Surjectivity theorem; Variable exponents double phase operator with logarithmic perturbation

Autoři

ZENG, S.; LU, Y.; RADULESCU, V.

Vydáno

24. 6. 2025

ISSN

0095-4616

Periodikum

APPLIED MATHEMATICS AND OPTIMIZATION

Ročník

92

Číslo

1

Stát

Spolková republika Německo

Strany počet

41

URL

https://link.springer.com/article/10.1007/s00245-025-10278-y

BibTex

@article{BUT198264,
  author="Shengda {Zeng} and Yasi {Lu} and Vicentiu {Radulescu}",
  title="Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections",
  journal="APPLIED MATHEMATICS AND OPTIMIZATION",
  year="2025",
  volume="92",
  number="1",
  pages="41",
  doi="10.1007/s00245-025-10278-y",
  issn="0095-4616",
  url="https://link.springer.com/article/10.1007/s00245-025-10278-y"
}